What is the square root of 5 divided by the square root of 8?

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What is the square root of 5 divided by the square root of 8?

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Answer 1 · 2018-06-15T02:58:03

$\frac{\sqrt{10}}{4}$ $sqrt10/4$ or $\approx 0.79$ $~~0.79$

Explanation:

We have the following

$\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$

The convention is to not have an irrational number in the denominator, so to get rid of it, we can multiply the top and bottom by $\sqrt{8}$ $sqrt8$ . We get

$\frac{\sqrt{5} \cdot \sqrt{8}}{{(\sqrt{8})}^{2}}$ $(sqrt5*sqrt8)/(sqrt8)^2$

Which simplifies to

$\frac{\sqrt{40}}{8}$ $sqrt40/8$

We can rewrite this as

$\frac{\sqrt{4 \cdot 10}}{8}$ $sqrt(4*10)/8$

$\Rightarrow \frac{2 \sqrt{10}}{8}$ $=>(2sqrt10)/8$

$\Rightarrow \frac{\sqrt{10}}{4}$ $=>color(blue)(sqrt10/4)$

As a decimal, this is approximately

$0.79$ $0.79$

Hope this helps!

Answer 2 · 2018-06-15T02:59:01

$\frac{\sqrt{10}}{4}$ $sqrt10/4$

Explanation:

Let's translate this into mathematical terms:

square root of 5: $\sqrt{5}$ $sqrt5$

square root of 8: $\sqrt{8}$ $sqrt8$

Since we divide them, it becomes:
$\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$

If you want to simplify this, we can multiply both numerator and denominator by $\sqrt{8}$ $sqrt8$ :
$\frac{\sqrt{5}}{\sqrt{8}} \cdot \frac{\sqrt{8}}{\sqrt{8}}$ $sqrt5/sqrt8 * sqrt8/sqrt8$

Simplify:
$\frac{\sqrt{40}}{8}$ $sqrt40/8$

$\frac{\sqrt{4 \cdot 10}}{8}$ $sqrt(4*10)/8$

$\frac{\sqrt{4} \sqrt{10}}{8}$ $(sqrt4sqrt10)/8$

$\frac{2 \sqrt{10}}{8}$ $(2sqrt10)/8$

$\frac{\sqrt{10}}{4}$ $sqrt10/4$

Hope this helps!

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What is the square root of 5 divided by the square root of 8?

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