Quiz about Square Roots and Radical Review

Question 1

What is the fourth step to using the perfect square method to simplify square roots?

Accepted Answer

Take square root and simplify fraction exponents

Answer

Find LARGEST perfect square

Answer

Social Distance the radical (everyone gets their own house

Answer

Rewrite using perfect square (and EVEN/ODD exponents)

Answer

Combine like terms

Question 2

What is the first step to using the prime factor method to simplify square roots?

Accepted Answer

Create a prime factor tree for radicand

Answer

Circle the PAIRS (That means 2 of the same number)

Answer

Pull ONE number from each pair OUTSIDE and multiply

Answer

The number(s) not circled are multiplied together and left UNDER the radical

Question 3

What is the second step to using the prime factor method to simplify square roots?

Accepted Answer

Circle the PAIRS (That means 2 of the same number)

Answer

Create a prime factor tree for radicand

Answer

Pull ONE number from each pair OUTSIDE and multiply

Answer

The number(s) not circled are multiplied together and left UNDER the radical

Question 4

What is the third step to using the prime factor method to simplify square roots?

Accepted Answer

Pull ONE number from each pair OUTSIDE and multiply

Answer

Create a prime factor tree for radicand

Answer

Circle the PAIRS (That means 2 of the same number)

Answer

The number(s) not circled are multiplied together and left UNDER the radical

Question 5

What is the largest perfect square that the radicand $$360$$ can be divided by?

Accepted Answer

$$36$$

Answer

$$4$$

Answer

$$9$$

Answer

$$324$$

Question 6

Rewrite the square root using perfect square method.

Accepted Answer

$$\sqrt{360}=\sqrt{36}\cdot\sqrt{10}$$

Answer

$$\sqrt{360}=36\cdot10$$

Answer

$$\sqrt{360}=36\cdot\sqrt{10}$$

Answer

$$\sqrt{360}=\sqrt{36}\cdot10$$

Question 7

Simplify the square root using perfect square method.

Accepted Answer

$$\sqrt{360}=\sqrt{36}\cdot\sqrt{10}=6\sqrt{10}$$

Answer

$$\sqrt{360}=36\cdot10=360$$

Answer

$$\sqrt{360}=36\cdot\sqrt{10}$$

Answer

$$\sqrt{360}=\sqrt{36}\cdot10=6\cdot10=60$$

Question 8

Simplify the square root using prime factors method.

Accepted Answer

$$\sqrt{480}=\sqrt{2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5}=2\cdot2\sqrt{2\cdot3\cdot5}=4\sqrt{30}$$

Answer

$$\sqrt{480}=\sqrt{2\cdot2\cdot2\cdot3\cdot4\cdot5}=2\sqrt{2\cdot3\cdot4\cdot5}=2\sqrt{120}$$

Answer

$$\sqrt{480}=\sqrt{10\cdot48}=10\sqrt{48}$$

Answer

$$\sqrt{480}=\sqrt{6\cdot8\cdot10}=6\sqrt{80}$$

Question 9

What is the second step to using the perfect square method to simplify square roots?

Accepted Answer

Social Distance the radical (everyone gets their own house

Answer

Find LARGEST perfect square

Answer

Rewrite using perfect square (and EVEN/ODD exponents)

Answer

Take square root and simplify fraction exponents

Answer

Combine like terms

Question 10

What is the fifth step to using the perfect square method to simplify square roots?

Accepted Answer

Combine like terms

Answer

Find LARGEST perfect square

Answer

Social Distance the radical (everyone gets their own house

Answer

Rewrite using perfect square (and EVEN/ODD exponents)

Answer

Take square root and simplify fraction exponents

Question 11

What is the BEST METHOD to use for simplifying square roots?

Accepted Answer

Perfect Square

Answer

Prime Factors

Square Roots and Radical Review

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