Simplifying and Rationalizing Expressions with Radicals Quiz

Test your skills with this quiz on simplifying and rationalizing radical expressions. Solve 17 questions to enhance your understanding.

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Simplify the expression: √12

2√3

3√2

√6

4√3

Rationalize the denominator: (1/√5)

(√5)/5

(√5)/25

5/√5

√5/5

Simplify the expression: (√3 + √2)^2

5 + 2√6

5 + √6

5 + 2√3

5 + √2

Rationalize the denominator: (1/√10) + (3/√2)

(√10+3√2)/(10)

(√10-3√2)/(20)

(√10+3√2)/(20)

(√10-3√2)/(10)

Simplify the expression: (√15 + √10)^2

25 + 2√150

25 + 2√15

25 + √150

25 + √15

Rationalize the denominator: (1/√13) + (4/√2)

(√13+4√2)/(26)

(√13-4√2)/(13)

(√13+4√2)/(13)

(√13-4√2)/(26)

Simplify the expression: √18/√2

3√2

2√3

√6

Rationalize the denominator: (1/√7) + (2/√3)

(√7-2√3)/(3√7)

(√21-2√3)/(21)

(√21+2√3)/(21)

(√7+2√3)/(3√7)

Simplify the expression: √48/√12

2√3

4√3

3√2

2√2

#10

Rationalize the denominator: (2/√6) + (5/√3)

(2√6+5√3)/(6)

(2√6-5√3)/(6)

(2√6+5√3)/(3)

(2√6-5√3)/(3)

#11

Simplify the expression: √75/√3

5√3

5√2

25√3

#12

Rationalize the denominator: (3/√5) + (2/√3)

(3√5+2√3)/(15)

(3√5-2√3)/(15)

(3√5+2√3)/(5)

(3√5-2√3)/(5)

#13

Simplify the expression: (2√10 + √5)^2

50 + 4√50 + 5

40 + 4√50 + 5

40 + 4√50 + 10

50 + 2√50 + 5

#14

Simplify the expression: (3√7 - 2√5)^2

49 - 12√35 + 20

49 - 12√35 + 25

49 - 4√35 + 20

49 - 4√35 + 25

#15

Simplify the expression: (4√11 - √7)^2

49 - 8√77 + 44

49 - 4√77 + 28

49 - 8√77 + 28

49 - 4√77 + 44

#16

Simplify the expression: (√27 - √12)^2

9 - 4√108 + 12

9 - 2√108 + 12

9 - 4√108 + 6

9 - 2√108 + 6

#17

Simplify the expression: (√32 - √18)^2

14 - 2√576 + 18

14 - √576 + 18

14 - 2√576 + 9

14 - √576 + 9