How do you simplify sqrt 7 + 8 sqrt 63?

1 Answer
Mar 9, 2016

Same thing just written differently so you can see a very slightly different approaches.

$25 \sqrt{7}$

Explanation:

Given:$\text{ } \sqrt{7} + 8 \sqrt{63}$

$3 \times 21 = 63$
$3 \times 7 = 21$
${3}^{2} \times 7 = 63$

$\sqrt{7} + 8 \sqrt{{3}^{2} \times 7}$

$\sqrt{7} + 24 \sqrt{7}$

$\sqrt{7} \left(1 + 24\right)$

$25 \sqrt{7}$