Question

question 1-5
simplify the expression \\(\frac{\sqrt{45}}{\sqrt{320}}\\).

Explanation:

Step1: Combine square roots

$\frac{\sqrt{45}}{\sqrt{320}} = \sqrt{\frac{45}{320}}$

Step2: Simplify the fraction inside

$\sqrt{\frac{45\div5}{320\div5}} = \sqrt{\frac{9}{64}}$

Step3: Take square root of numerator/denominator

$\sqrt{\frac{9}{64}} = \frac{\sqrt{9}}{\sqrt{64}} = \frac{3}{8}$

Answer:

$\frac{3}{8}$