Quiz about Rational/Irrational Numbers

Question 1

Determine if the simplified answer would be rational or irrational for. Hint: Use a calculator!

$$\sqrt[]{5\ }+8$$

Accepted Answer

Irrational

Answer

Rational

Question 2

Determine if the simplified answer would be rational or irrational for. Hint: Use a calculator!

$$3\cdot14$$

Accepted Answer

Rational

Answer

Irrational

Question 3

Determine if the simplified answer would be rational or irrational for. Hint: Use a calculator!

$$\sqrt[]{4}\cdot\sqrt[]{4}$$

Accepted Answer

Rational

Answer

Irrational

Question 4

Determine if the simplified answer would be rational or irrational for. Hint: Use a calculator!

$$7-\ \sqrt[]{9}$$

Accepted Answer

Rational

Answer

Irrational

Question 5

Simplify $$\sqrt{18x^5}$$ .

Your answer must include a radical!

Accepted Answer

$$3x^2\sqrt{2x}$$

Answer

$$6x^2\sqrt{x}$$

Answer

$$3x\sqrt{6x^3}$$

Answer

$$\sqrt{18x^5}$$

Question 6

Which of the following would be the simplified expression of $$-4\sqrt{6} + 7\sqrt{6}$$ ? Circle the correct answer.

Accepted Answer

$$3\sqrt{6}$$

Answer

$$3\sqrt{12}$$

Answer

$$-3\sqrt{12}$$

Answer

$$-3\sqrt{6}$$

Answer

$$Cannot\ be\ simplified$$

Question 7

What is the simplified form of $$2\sqrt{3} - \sqrt{27}$$ ?

Accepted Answer

$$-\sqrt{3}$$

Answer

$$\sqrt{3}$$

Answer

$$3\sqrt{3}$$

Answer

$$-3\sqrt{3}$$

Question 8

Below is a sequence of numbers.

Write an equation in slope intercept form (y = mx + b) for the sequence below:

12, 7, 2, -3, ...

Accepted Answer

y = -5x + 17

Answer

y = -5x + 12

Answer

y = -5x + 7

Answer

y = -5x + 2

Question 9

Multiply $$\left(5\ \sqrt[3]{54}\right)\left(3\ \sqrt[3]{32}\right)$$ .

Accepted Answer

$$180$$

Answer

$$15\ \sqrt[]{86}$$

Answer

$$180\sqrt{3}$$

Answer

$$15\sqrt[3]{80}$$

Question 10

Which of the following equations are true?

Select ALL that apply.

Accepted Answer

$$x^{\frac{3}{5}}=\ \sqrt[5]{x^3}$$

Accepted Answer

$$\left(x\right)^{\frac{7}{4}}=\ \sqrt[4]{x^7}$$

Accepted Answer

$$x^{10}=\ \left(\sqrt[]{x^5}\right)^4$$

Answer

$$x^{\frac{2}{9}}=\ \left(x\right)^9$$

Question 11

Multiply $$(\sqrt{20})(\sqrt{63})$$ .

Accepted Answer

$$6\sqrt{35}$$

Answer

$$5\sqrt{35}$$

Answer

$$6\sqrt{12}$$

Answer

$$6\sqrt{5}$$

Question 12

Simplify $$\sqrt{20}\ +\sqrt{80}$$ .

Accepted Answer

$$6\sqrt{5}$$

Answer

$$2\ +\ 4\sqrt{5}$$

Answer

$$6\ +\ \sqrt{5}$$

Answer

$$8\sqrt{5}$$

Rational/Irrational Numbers

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