How do you simplify $sqrt8/sqrt7$ ?

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Answer 1 · 2016-08-12T13:37:36

$(2sqrt14)/7$

It is not good maths practice to leave a radical in the denominator.

We can "rationalize the denominator" which means changing it from an irrational to a rational number.

$sqrt8/sqrt7 = sqrt8/sqrt7 xx sqrt7/sqrt7 " because "sqrt7/sqrt7 =1$

$sqrt8/sqrt7 xx sqrt7/sqrt7 = sqrt(8xx7)/7 " "sqrt7^2 =7$

= $sqrt(2xx2xx2xx7) /7$

= $(2sqrt14)/7$

How do you simplify sqrt8/sqrt7sqrt8/sqrt7?