Which of the following numerical statements serves as a counterexample to prove that $\sqrt{a - b} = \sqrt{a} - \sqrt{b}$ is NOT a valid general rule?

A

B

C

D

Question

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True or False: The sum of any two irrational numbers is always another irrational number.

A

B

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True or False: For any two positive real numbers $a$ and $b$ , the identity $\sqrt{a+b} = \sqrt{a} + \sqrt{b}$ is always true.

A

B

−

b

=

a+

b

1

2

3

Question 4

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Question 5

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$2\sqrt{18}$

$\sqrt{72}$

$3\sqrt{8}$

$6\sqrt{2}$

$5$

$2\sqrt{7}$

$\sqrt{26}$

$3\sqrt{3}$

Simplify $\sqrt{72}$ to its simplest radical form.

Without using a calculator, determine which of the following values is the largest.

$\sqrt{100 - 64} \ne \sqrt{100} - \sqrt{64}$

$\sqrt{16 + 9} \ne \sqrt{16} + \sqrt{9}$

$\sqrt{25 - 0} = \sqrt{25} - \sqrt{0}$

$\sqrt{100 \cdot 64} = \sqrt{100} \cdot \sqrt{64}$

True

False

True

False

MYP Standard Mathematics 1.7 Radicals Questionbank

MYP Standard Mathematics 1.7 Radicals Questionbank

MYP MYP Standard Mathematics Topic 1.7 Radicals Questionbank