# How do you simplify 3sqrt32 - 6sqrt8?

May 15, 2015

$3 \sqrt{32} - 6 \sqrt{8}$

the expression can be written as :
$3 \sqrt{4 \times 8} - 6 \sqrt{8}$

(we know that $\sqrt{4} = 2$)

$= 3 \times 2 \sqrt{8} - 6 \sqrt{8}$

$6 \sqrt{8} - 6 \sqrt{8} = 0$

May 15, 2015

Simplify $3 \sqrt{32} - 6 \sqrt{8}$ .

Simplify $3 \sqrt{32}$.

$3 \sqrt{4 \cdot 4 \cdot 2}$ =

$3 \sqrt{4} \sqrt{4} \sqrt{2}$ =

$3 \cdot 2 \cdot 2 \sqrt{2}$ =

$3 \cdot 4 \sqrt{2}$ =

$12 \sqrt{2}$

Simplify $6 \sqrt{8}$.

$6 \sqrt{8}$ =

$6 \sqrt{2} \cdot 2 \cdot 2$ =

$6 \sqrt{4 \cdot 2}$ =

$6 \cdot 2 \sqrt{2}$ =

$12 \sqrt{2}$

Rewrite equation with simplified terms.

$12 \sqrt{2} - 12 \sqrt{2} = 0$