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Mathematics

10th - 12th Grade

Used 98+ times

Rationalizing Surds
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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Simplify by rationalizing the denominator:

(Hint: rewrite without a surd on the denominator)

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2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Simplify by rationalising the denominator:

(Hint: Rewrite without surds in the denominator)

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3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand and simplify ...


(2 + √3)(3 + √3)

9 + 5√3

6 + 6√3

9 + √3

15 + 5√3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expand and simplify ...


(3 + 2√2)(1 + 3√2)

15 + 11√2

15 + 5√2

5 + 11√2

5 + 5√2

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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To rationalize the denominator of this expression you need to multiply by

44\frac{4}{4}

33\frac{\sqrt{3}}{\sqrt{3}}

43\frac{4}{\sqrt{3}}

34\frac{\sqrt{3}}{4}

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rationalize the denominator:
 1410\frac{1}{4\sqrt{10}}  

 14\frac{\sqrt{1}}{4}  

 1040\frac{\sqrt{10}}{40}  

 14\frac{1}{4}  

 10400\frac{\sqrt{10}}{400}  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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Express the following division without any surds in the denominator.

 72\frac{\sqrt{7}}{2} 

2\sqrt{2}

 142\frac{\sqrt{14}}{2} 

 147\frac{\sqrt{14}}{7} 

cannot be done

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