Question

What is the quotient of the following expression? State the answer in simplest radical form. Rationalize the denominator if necessary.

9√80/4√90
9
80
4
90
(1 point)
Responses

2√3
2
3
the fraction with numerator square root of 2 and denominator 3

32√2
3
2
2
the fraction with numerator 3 square root of 2 and denominator 2

32√
3
2
the fraction with numerator 3 and denominator square root of 2

2√2
2
2
the fraction with numerator square root of 2 and denominator 2
Graphing Calculator

Answer 1

Compute and simplify:

9√80 / 4√90 = (9·√80)/(4·√90) = (9·4√5)/(4·3√10) = (36√5)/(12√10) = 3·(√5/√10) = 3/√2 = (3√2)/2.

Answer: 3√2/2.