\[\sqrt{2048}\]

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Examples

"factor x^2+5x+6"

"integrate cos(x)^3"

1

Rewrite

2048

as its prime factors.

\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}

2

Group the same prime factors into pairs.

\sqrt{(2\times 2)\times (2\times 2)\times (2\times 2)\times (2\times 2)\times (2\times 2)\times 2}

3

Rewrite each pair in exponent form.

\sqrt{{2}^{2}\times {2}^{2}\times {2}^{2}\times {2}^{2}\times {2}^{2}\times 2}

4

Use this rule:

\sqrt{{x}^{2}}=x

.

(2\times 2\times 2\times 2\times 2)\sqrt{2}

5

Simplify.

32\sqrt{2}

Done

Decimal Form: 45.254834

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