How do you simplify $sqrt(64b^48)$ ?

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Answer 1 · 2015-09-30T08:32:30

It can be written as $8b^24$

First if you have an expression like $sqrt(a*b)$ you can write it as $sqrt(a)*sqrt(b)$ , so you can write this as:

$sqrt(64)*sqrt(b^48)$

Finally you can write $sqrt(a)$ as $a^(1/2)$ , so
$sqrt(b^48)=(b^48)^(1/2)=b^(48/2)=b^24$

Finally you get: $8b^24$

How do you simplify sqrt(64b^48)sqrt(64b^48)?