How do you simplify $sqrt(32)$ ?

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Answer 1 · 2016-02-03T08:31:08

$sqrt 32=4sqrt2$

$sqrt 32$

Write the prime factors for $32$ .

$sqrt32=sqrt(2xx2xx2xx2xx2)$

Divide the factors into pairs.

$sqrt 32=sqrt((2xx2)xx(2xx2)xx2))$

Simplify.

$sqrt 32=sqrt(2^2xx2^2xx2)$

Apply the square root rule $sqrt(a^2)=a$ .

$sqrt 32=2xx2sqrt2$

Simplify.

$sqrt 32=4sqrt2$

How do you simplify sqrt(32)sqrt(32)?