How do you simplify $\sqrt{512}$ $sqrt(512)$ ?

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Answer 1 · 2016-02-19T12:29:11

$= 2^{\frac{9}{2}}$ $= 2^( 9 /2)$

$\sqrt{512}$ $sqrt(512$

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

$512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$ $512 = 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2 xx 2$

$512 = 2^{9}$ $512 = 2^9$

$\sqrt{512} = \sqrt{2^{9}}$ $sqrt512 = sqrt(2^9)$

$= 2^{9 \times \frac{1}{2}}$ $= 2^( 9 xx 1/2)$

(note: square root is also called half root)

$= 2^{\frac{9}{2}}$ $= 2^( 9 /2)$

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