Algebra Examples

$\sqrt{\sqrt{16 r^{4} g^{4} p^{4}}}$

Step 1

Rewrite $16 r^{4} g^{4} p^{4}$ as ${(4 r^{2} g^{2} p^{2})}^{2}$ .

$\sqrt{\sqrt{{(4 r^{2} g^{2} p^{2})}^{2}}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$\sqrt{4 r^{2} g^{2} p^{2}}$

Step 3

Rewrite $4 r^{2} g^{2} p^{2}$ as ${(2 r g p)}^{2}$ .

$\sqrt{{(2 r g p)}^{2}}$

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$2 r g p$