Pre-Algebra Examples

$3 \sqrt{0.343 c^{9}}$

Step 1

Rewrite $0.343 c^{9}$ as ${(0.58566201 c^{4})}^{2} c$ .

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Step 1.1

Rewrite $0.343$ as ${0.58566201}^{2}$ .

$3 \sqrt{{0.58566201}^{2} c^{9}}$

Step 1.2

Factor out $c^{8}$ .

$3 \sqrt{{0.58566201}^{2} (c^{8} c)}$

Step 1.3

Rewrite $c^{8}$ as ${(c^{4})}^{2}$ .

$3 \sqrt{{0.58566201}^{2} ({(c^{4})}^{2} c)}$

Step 1.4

Rewrite ${0.58566201}^{2} {(c^{4})}^{2}$ as ${(0.58566201 c^{4})}^{2}$ .

$3 \sqrt{{(0.58566201 c^{4})}^{2} c}$

Step 2

Pull terms out from under the radical.

$3 (0.58566201 c^{4} \sqrt{c})$

Step 3

Multiply $0.58566201$ by $3$ .

$1.75698605 c^{4} \sqrt{c}$