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How do you simplify √150 ÷ √3?

1 Answer

Jul 23, 2015

$=color(blue)(5sqrt2$

Explanation:

Prime factorising: $sqrt150 = sqrt(3*5*2*5)$

$=5sqrt6$

Now:
$sqrt150/sqrt3 = (5sqrt6)/sqrt3$

$sqrt 6 =sqrt2 * sqrt3$

So,
$(5sqrt6)/sqrt3 = (5cancelsqrt3*sqrt2)/cancelsqrt3$

$=color(blue)(5sqrt2$

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