How do you simplify sqrt8/(2sqrt7)?

1 Answer
Shantelle
Apr 14, 2018

sqrt14/7

Explanation:

sqrt8/(2sqrt7)

(sqrt(4 * 2))/(2sqrt7)

(sqrt4 * sqrt2)/(2sqrt7)

(2sqrt2)/(2sqrt7)

Since both the numerator and denominator is multiplied by 2, we can cancel 2:
(color(red)(cancel(2))sqrt2)/(color(red)(cancel(2))sqrt7)

And what's left is:
sqrt2/sqrt7

If you need to simplify it further, you can rationalize the denominator by multiplying the whole expression by sqrt7:
sqrt2/(sqrt7) * sqrt7/sqrt7

Which becomes:
sqrt14/7

Hope this helps!

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