What is $sqrt(1/90)$ ?

Question

1604 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-15T07:21:33

$(sqrt 1)/(sqrt90)=(sqrt 10)/(30)$

Simplify.

$(sqrt 1)/(sqrt90)$

Simplify $sqrt 1$ to $1$ .

$1/(sqrt90)$

Factor $sqrt 90$ .

$1/(sqrt (3xx3xx2xx5))$

Simplify.

$1/(sqrt(3^2xx2xx5))$

Apply square root rule $sqrt( a^2)=a$ .

$1/(3sqrt(2xx5))$

Simplify.

$1/(3sqrt 10)$

Rationalize the denominator.

$1/(3sqrt 10)xx(sqrt10)/(sqrt 10)$

$(sqrt 10)/(3sqrt 10sqrt 10)$

Apply square root rule $sqrtasqrta=a$ .

$(sqrt 10)/(3xx10)$

Simplify.

$(sqrt 10)/(30)$

What is sqrt(1/90)sqrt(1/90)?