How do you simplify $7sqrt32$ ?

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Answer 1 · 2016-04-04T17:00:40

$=28 sqrt2$

$7 sqrt 32$

We first prime factorise $32$ ( express a number as a product of its prime factors)

$sqrt 32 = sqrt ( 2 * 2 * 2 * 2 * 2 ) = sqrt (2^2 * 2^2 * 2) = 2 * 2 * sqrt2 = color(blue)(4sqrt2$

$7 sqrt 32 = 7 * (color(blue)(4sqrt2))$

$=28 sqrt2$

How do you simplify 7sqrt327sqrt32?