Simplify (2.49464-2.5)/(0.01261/( square root of 32))

$\frac{2.49464 - 2.5}{\frac{0.01261}{\sqrt{32}}}$

Multiply the numerator by the reciprocal of the denominator.

$(2.49464 - 2.5) \frac{\sqrt{32}}{0.01261}$

Simplify the numerator.

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Rewrite $32$ as $4^{2} \cdot 2$ .

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Factor $16$ out of $32$ .

$(2.49464 - 2.5) \frac{\sqrt{16 (2)}}{0.01261}$

Rewrite $16$ as $4^{2}$ .

$(2.49464 - 2.5) \frac{\sqrt{4^{2} \cdot 2}}{0.01261}$

Pull terms out from under the radical.

$(2.49464 - 2.5) \frac{4 \sqrt{2}}{0.01261}$

Subtract $2.5$ from $2.49464$ .

$- 0.00536 \frac{4 \sqrt{2}}{0.01261}$

Evaluate the root.

$- 0.00536 \frac{4 \cdot 1.41421356}{0.01261}$

Multiply $4$ by $1.41421356$ .

$- 0.00536 (\frac{5.65685424}{0.01261})$

Divide $5.65685424$ by $0.01261$ .

$- 0.00536 \cdot 448.6006542$

Multiply $- 0.00536$ by $448.6006542$ .

$- 2.4044995$

Simplify (2.49464-2.5)/(0.01261/( square root of 32))

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