SOLUTION: Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positive real numbers.
1. square root of 5/3
2. square root
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Question 118061: Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positive real numbers.
1. square root of 5/3
2. square root of 12x cubed/5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
#1
Start with the given expression
Break up the square root
Multiply the fraction by
Combine the fraction
Combine the roots
Multiply
Take the square root of 9 to get 3. Notice how the denominator is a rational number. This is why I multiplied the fraction by
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#2
Start with the given expression
Break up the square root
Multiply the fraction by
Combine the fraction
Combine the roots
Multiply
Take the square root of 25 to get 5.
Factor 60 into 4*15 into
Break up the root
Take the square root of to get 2 and take the square root of to get x
Rearrange the terms
Combine the roots
So simplifies to
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