How do you simplify $sqrt(512)$ ?

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Answer 1 · 2016-02-19T12:29:11

$= 2^( 9 /2)$

$sqrt(512$

We first prime factorise $512$ (ie; express it as a product of its prime factors)

$512 = 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2$

$512 = 2^9$

$sqrt512 = sqrt(2^9)$

$= 2^( 9 xx 1/2)$

(note: square root is also called half root)

$= 2^( 9 /2)$

How do you simplify sqrt(512)sqrt(512)?