Question

Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?

Answer 1

Answer:

√2

Step-by-step explanation:

Solving the given expression step by step:

$\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}$

We rationalize denominator and change it into a simpler form as soon as possible.