# How do you simplify 7sqrt600?

May 18, 2015

You need to decouple your root:

$7 \sqrt{6 \cdot 100}$
$7 \sqrt{6 \cdot 10 \cdot 10}$

As we have a squared number inside a square root, we can take it out, like this:

$7 \cdot 10 \sqrt{6 \cdot 10}$
$70 \sqrt{60}$

However, we can keep on simplifying:

$70 \sqrt{4 \cdot 15}$
$70 \sqrt{2 \cdot 2 \cdot 15}$
$70 \cdot 2 \sqrt{15}$

Final answer would be $140 \sqrt{15}$