Simplifying square roots Practice Questions (Grade 9)

Simplifying square roots (ACT). Game on.

Simplifying square roots (ACT) is a grade 9 math skill aligned to Common Core standard HSN.RN.A.2: rewrite expressions involving radicals and rational exponents using the properties of exponents. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 20 simplifying square roots (act) problems our math games drill.

CCSS HSN.RN.A.220 questions in the bank

8 plays. No signup.

Warm-upeasy

Which expression is equivalent to $\sqrt{720}$ ?

$720 = 144 \cdot 5$ , so $\sqrt{720} = \sqrt{144 \cdot 5} = 12\sqrt{5}$ .

Mid-gameeasy

Which expression is equivalent to $\sqrt{192}$ ?

$192 = 64 \cdot 3$ , so $\sqrt{192} = \sqrt{64 \cdot 3} = 8\sqrt{3}$ .

Mid-gameeasy

Which expression is equivalent to $\sqrt{288}$ ?

$288 = 144 \cdot 2$ , so $\sqrt{288} = \sqrt{144 \cdot 2} = 12\sqrt{2}$ .

Mid-gameeasy

Which expression is equivalent to $\sqrt{750}$ ?

$750 = 25 \cdot 30$ , so $\sqrt{750} = \sqrt{25 \cdot 30} = 5\sqrt{30}$ , and $30 = 2 \cdot 3 \cdot 5$ is square-free.

Mid-gameeasy

Which expression is $\sqrt{720}$ in simplest radical form?

$720 = 144 \cdot 5\textsf{,}$ so $\sqrt{720} = \sqrt{144 \cdot 5} = 12\sqrt{5}\textsf{.}$

Mid-gameeasy

Which expression is $\sqrt{192}$ in simplest radical form?

$192 = 64 \cdot 3\textsf{,}$ so $\sqrt{192} = \sqrt{64 \cdot 3} = 8\sqrt{3}\textsf{.}$

Mid-gameeasy

Which expression is $\sqrt{288}$ in simplest radical form?

$288 = 144 \cdot 2\textsf{,}$ so $\sqrt{288} = \sqrt{144 \cdot 2} = 12\sqrt{2}\textsf{.}$

Buzzer beatereasy

Which expression is $\sqrt{750}$ in simplest radical form?

$750 = 25 \cdot 30\textsf{,}$ so $\sqrt{750} = \sqrt{25 \cdot 30} = 5\sqrt{30}\textsf{,}$ and $30 = 2 \cdot 3 \cdot 5$ is square-free.

Simplifying square roots (ACT). Game on.

8 plays. No signup.

12 more. Played, not assigned.

Drill it inside a game.