How do you simplify 2pi times the square root of 4/32?

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How do you simplify 2pi times the square root of 4/32?

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Answer 1 · 2018-04-10T20:43:40

$\frac{π \sqrt{2}}{2}$ $(pisqrt(2))/2$

Explanation:

Assumption: You mean $2 π \times \sqrt{\frac{4}{32}}$ $2pixxsqrt(4/32)$

$2 π \times \frac{\sqrt{2^{2}}}{\sqrt{2 \times 4^{2}}}$ $2pixxsqrt(2^2)/ sqrt(2xx4^2 )$

$2 π \times \frac{2}{4 \sqrt{2}}$ $2pixx2/(4sqrt2)$

$\frac{π}{\sqrt{2}}$ $pi/sqrt2$

Not good practise to have a root in the denominator if you can do otherwise.

$\frac{π}{\sqrt{2}} \times 1 ddd \to ddd \frac{π}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} dddd = dddd \frac{π \sqrt{2}}{2}$ $pi/sqrt2xx1 color(white)("ddd")->color(white)("ddd")pi/sqrt2 xxsqrt2/sqrt2 color(white)("dddd")= color(white)("dddd")(pisqrt(2))/2$

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How do you simplify 2pi times the square root of 4/32?

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