Question

current objective
use the quotient property to simplify a perfect square

question
simplify: \\(\sqrt{\frac{1,350}{600}}\\). give your answer in simplified fraction form.

provide your answer below:

Explanation:

Simplify the fraction inside the radical

$$ \frac{1,350}{600} = \frac{135}{60} = \frac{9}{4} $$

Apply the quotient property of radicals

$$ \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} $$

Evaluate the square roots

$$ \frac{\sqrt{9}}{\sqrt{4}} = \frac{3}{2} $$

Answer:

Simplify: \(\sqrt{\frac{1,350}{600}}\). Give your answer in simplified fraction form.

Provide your answer below:
<blank>\(\frac{3}{2}\)</blank>