Mathematics: Rationalize 2 divided by the square root of 7

Rationalize 2 divided by the square root of 7

Ответ:

kordejah348

06.01.2022

Mathematics

$\dfrac{2\sqrt{7}}{7}$

Step-by-step explanation:

There's a radical in the denominator of the fraction

$\dfrac{2}{\sqrt{7}}$ .

Multiplying the denominator $\sqrt{7}$ by a certain number will get rid of its radical part. What number will serve the purpose? There's only one square root in the denominator, so multiplying the square root $\sqrt{7}$ by itself will do.

Multiple both the fraction by

$\dfrac{\sqrt{7}}{\sqrt{7}}$ ,

which is the same as multiplying by ,

will rationalize the denominator without changing the value of the fraction. Here's how it works:

$\begin{array}{ll} \dfrac{2}{\sqrt{7}}\\= \dfrac{2}{\sqrt{7}} \times 1 & \text{Doing so does not change the value.}\\= \dfrac{2}{\sqrt{7}} \times \dfrac{\sqrt{7}}{\sqrt{7}} & \text{The value of} \; \dfrac{\sqrt{7}} {\sqrt{7}} \; \text{is} \; 1 \text{.} \\=\dfrac{2\sqrt{7}}{(\sqrt{7})^{2}} & \text{Square the square root} \; \sqrt{7}\text{.}\\= \dfrac{2\sqrt{7}}{7}\\\end{array}$ .

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Ответ:

Kalamazoo4750

22.03.2023

Mathematics

50+=+%282w

50+=+2w

25+=+w

5+=+w

if width = 5 and l = 2w, then l = 10

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Rationalize 2 divided by the square root of 7

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