Algebra Examples

$\sqrt{36 a b^{4} c^{5}}$

Step 1

Rewrite $36 a b^{4} c^{5}$ as ${(6 b^{2} c^{2})}^{2} (a c)$ .

Tap for more steps...

Step 1.1

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} a b^{4} c^{5}}$

Step 1.2

Rewrite $b^{4}$ as ${(b^{2})}^{2}$ .

$\sqrt{6^{2} a {(b^{2})}^{2} c^{5}}$

Step 1.3

Factor out $c^{4}$ .

$\sqrt{6^{2} a {(b^{2})}^{2} (c^{4} c)}$

Step 1.4

Rewrite $c^{4}$ as ${(c^{2})}^{2}$ .

$\sqrt{6^{2} a {(b^{2})}^{2} ({(c^{2})}^{2} c)}$

Step 1.5

Move $a$ .

$\sqrt{6^{2} {(b^{2})}^{2} {(c^{2})}^{2} a c}$

Step 1.6

Rewrite $6^{2} {(b^{2})}^{2} {(c^{2})}^{2}$ as ${(6 b^{2} c^{2})}^{2}$ .

$\sqrt{{(6 b^{2} c^{2})}^{2} a c}$

Step 1.7

Add parentheses.

$\sqrt{{(6 b^{2} c^{2})}^{2} (a c)}$

Step 2

Pull terms out from under the radical.

$| 6 b^{2} c^{2} | \sqrt{a c}$

Step 3

Remove non-negative terms from the absolute value.

$6 b^{2} c^{2} \sqrt{a c}$