MYP Standard Mathematics Topic Radicals Questionbank

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MYP Standard Mathematics Topic Radicals Questionbank | RevisionDojo

Type

Difficulty

Question 1

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?

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

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

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

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

Question 2

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

True

False

Question 3

View answer

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

True

False

Question 4

View answer

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

$2\sqrt{18}$

$\sqrt{72}$

$3\sqrt{8}$

$6\sqrt{2}$

Question 5

View answer

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

$5$

$2\sqrt{7}$

$\sqrt{26}$

$3\sqrt{3}$

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Practice MYP MYP Standard Mathematics Topic Radicals with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Radicals and mirrors Paper 1, 2 style where relevant.

Get instant solutions, detailed explanations, and build confidence with questions aligned to MYP examiner expectations.

Type

Difficulty

Question 1

View answer

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?

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

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

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

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

Question 2

View answer

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

True

False

Question 3

View answer

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

True

False

Question 4

View answer

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

$2\sqrt{18}$

$\sqrt{72}$

$3\sqrt{8}$

$6\sqrt{2}$

Question 5

View answer

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

$5$

$2\sqrt{7}$

$\sqrt{26}$

$3\sqrt{3}$

Unlock all 15 questions with a free account

Get instant solutions, detailed explanations, and build confidence with questions aligned to MYP examiner expectations.

MYP Standard Mathematics Radicals Questionbank

MYP Standard Mathematics Radicals Questionbank

Unlock all 15 questions with a free account

Unlock all 15 questions with a free account

MYP Standard Mathematics Radicals Questionbank

MYP Standard Mathematics Radicals Questionbank

Unlock all 15 questions with a free account

MYP MYP Standard Mathematics Topic Radicals Questionbank

Unlock all 15 questions with a free account

MYP MYP Standard Mathematics Topic Radicals Questionbank