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There are two main methods to There are two main methods to simplifying radicals 1. Finding the perfect square There are two main methods to simplifying radicals 2. Using the factor tree 1. Finding the perfect square There are pros and cons to both methods There are two main methods to simplifying radicals 2. Using the factor tree 1. Finding the perfect square There are pros and cons to both methods This method is faster There are two main methods to simplifying radicals 2. Using the factor tree 1. Finding the perfect square There are pros and cons to both methods This method is faster with higher roots but doesn't work as well There are two main methods to simplifying radicals 2. Using the factor tree 1. Finding the perfect square (like cube roots) There are pros and cons to both methods This method is faster with higher roots but doesn't work as well There are two main methods to simplifying radicals 2. Using the factor tree 1. Finding the perfect square (like cube roots) There are pros and cons to both methods This method is faster with higher roots but doesn't work as well There are two main methods to simplifying radicals 2. Using the factor tree This method is slower 1. Finding the perfect square (like cube roots) There are pros and cons to both methods This method is faster with higher roots but doesn't work as well There are two main methods to simplifying radicals but works well all the time 2. Using the factor tree This method is slower To use the 'finding perfect square method' To use the 'finding perfect square method' you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 4 is a perfect square you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 4 is a perfect square because 2x2=4 you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 9 is a perfect square 4 is a perfect square because 2x2=4 you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 9 is a perfect square because 3x3=9 4 is a perfect square because 2x2=4 you have to know your perfect squares To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 9 is a perfect square because 3x3=9 4 is a perfect square because 2x2=4 is a perfect square because 4x4=16 you have to know your perfect squares 16 is a perfect square because 4x4=16 To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 9 is a perfect square because 3x3=9 4 is a perfect square because 2x2=4 is a perfect square because 5x5= you have to know your perfect squares 16 is a perfect square because 4x4=16 25 is a perfect square because 5x5=25 To use the 'finding perfect square method' 1 is a perfect square because 1x1=1 9 is a perfect square because 3x3=9 4 is a perfect square because 2x2=4 you have to know your perfect squares is a perfect square because x = Once you know the perfect squares Once you know the perfect squares 4 Once you know the perfect squares 4, 9 Once you know the perfect squares 4, 9, 16 Once you know the perfect squares 4, 9, 16, 25 Once you know the perfect squares 4, 9, 16, 25, 36 Once you know the perfect squares 4, 9, 16, 25, 36... I'm too lazy to type them all Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 8 number under radical Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 8 is divisible by a perfect square Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 8 is divisible by a perfect square one of these Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 8 Since 8 is divisible by 4 is divisible by a perfect square Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 8 Since 8 is divisible by 4 is divisible by a perfect square we can split 8 into 4x2 Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 4x2 Since 8 is divisible by 4 is divisible by a perfect square we can split 8 into 4x2 Once you know the perfect squares then you see if the number under the radical 4, 9, 16, 25, 36... 4x2 Since 8 is divisible by 4 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 Once you know the perfect squares 4 then you see if the number under the radical 4, 9, 16, 25, 36... 2 4x2 Since 8 is divisible by 4 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 Once you know the perfect squares 4 then you see if the number under the radical 4, 9, 16, 25, 36... 2 4x2 Since 8 is divisible by 4 but the square root of 4 is 2 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 Once you know the perfect squares 4 then you see if the number under the radical 4, 9, 16, 25, 36... 2 4x2 Since 8 is divisible by 4 but the square root of 4 is 2 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 so we can write this Once you know the perfect squares 4 then you see if the number under the radical 2 4, 9, 16, 25, 36... 2 2 4x2 Since 8 is divisible by 4 but the square root of 4 is 2 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 so we can write this Once you know the perfect squares 4 then you see if the number under the radical 2 4, 9, 16, 25, 36... 2 2 4x2 Since 8 is divisible by 4 but the square root of 4 is 2 and then split it further like this is divisible by a perfect square we can split 8 into 4x2 which is our answer so we can write this Factoring using the factor tree Factoring using the factor tree is also very useful Factoring using the factor tree is also very useful √8 Factoring using the factor tree is also very useful √8 Factoring using the factor tree is also very useful 2 √8 4 Factoring using the factor tree is also very useful 2 √8 4 Factoring using the factor tree is also very useful 2 √8 2 4 2 √10 5 √40 4 5 pairs of numbers Factoring using the factor tree is also very useful 2 √8 2 4 2 pairs of numbers come out from Factoring using the factor tree is also very useful 2 √8 2 4 2 pairs of numbers come out from Factoring using the factor tree under the radical is also very useful 2 √8 2 4 2 pairs of numbers as a single number come out from Factoring using the factor tree under the radical is also very useful 2 √8 2 4 2 pairs of numbers as a single number come out from Factoring using the factor tree under the radical is also very useful 2 √8 2 4 2 pair of 2's pairs of numbers as a single number come out from Factoring using the factor tree under the radical is also very useful 2 √8 2 4 2 come out as a single 2 pair of 2's 2√ pairs of numbers as a single number come out from Factoring using the factor tree under the radical is also very useful 2 √8 2 4 2 leftover 2 stays come out as a single 2 pair of 2's 2√ under 2 Which number is taken out of the radical? Which number is a pair? 3 √18 9 3 2 3 √18 9 3 2 √ 2 Which number is taken out of the radical? Which number is a pair? 5 25 √75 5 3 5 25 √75 5 3 √ 3 3 12 √24 2 4 2 2 √ 6 3 9 √45 3 5 3 ? √ 5 ? |