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

$sqrt10/4$ or $~~0.79$

We have the following

$sqrt5/sqrt8$

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 $sqrt8$ . We get

$(sqrt5*sqrt8)/(sqrt8)^2$

Which simplifies to

$sqrt40/8$

We can rewrite this as

$sqrt(4*10)/8$

$=>(2sqrt10)/8$

$=>color(blue)(sqrt10/4)$

As a decimal, this is approximately

$0.79$

Hope this helps!

Answer 2 · 2018-06-15T02:59:01

$sqrt10/4$

Let's translate this into mathematical terms:

square root of 5: $sqrt5$

square root of 8: $sqrt8$

Since we divide them, it becomes:
$sqrt5/sqrt8$

If you want to simplify this, we can multiply both numerator and denominator by $sqrt8$ :
$sqrt5/sqrt8 * sqrt8/sqrt8$

Simplify:
$sqrt40/8$

$sqrt(4*10)/8$

$(sqrt4sqrt10)/8$

$(2sqrt10)/8$

$sqrt10/4$

Hope this helps!