how do you simplify operations with radical expressions

the fourth root of the square root of 64a to the 4th power times b to the 4th power
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1 Answer

The wording of your problem can be interpreted several ways.  Here's one way to read it:

sqrt(64a)

( sqrt(64a) )^4

( ( ( sqrt(64a) )^4 ) ^(1/4) ) * b^4

( ( ( 8sqrt(2a) )^4 ) ^(1/4) ) * b^4

( 8sqrt(2a) ) * b^4

8 * b^4 * sqrt(2a)

by Level 13 User (103k points)

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