1. What is the quotient of the radical expression 4√2 ÷ 8√2 ? A. 32 C. 1
2
B. 2√8 D. 1
2
√4
2. Which of the following is the product of (6√3) (7 √5) ?
A. 15√8 C. 13√15
B. 42√15 D. 42√8
3. What is the conjugate of the radical expression 15√ − 10√ ?
A. 15√ + 10√ C. 10√ + 15√
B. 15√ − 10√ D. √ + √
4. What is the quotient of √72 ÷ √12 ?
A. √3 C. √6
B. 6 D. 7
5. Which of the following is product of (6√3 − 8√27)(6√3 + 8√27) ?
A. −1432 C. 1530
B. 1450 D. −1620
6. What is the simplified form of the radical expression 6√3 • 2√5 • 7√6 ?
A. 84√90
3 C. 84√90
B. 252x√10 D. 252√10
In dividing radical expression, there are things that need to be
considered.
➢ To divide radicals of the same order , use the property √
√
= √
then
rationalize the denominator
➢ To divide radicals of different orders, it is necessary to express them
as radicals of the same order then rationalize the denominator.
➢ To divide radicals with a denominator consisting of at least two
terms, rationalize the denominator using its conjugate.
27
7. What is the product of the radical expression 5√8 (7√98 − 15√32 ) ?
A. −280 C. −220
B. 250 D. 240
8. What is the result when √4
7
5 is multiplied to 3
2√
3
5 + 2√
5
3 ?
A. 7
3
3 √ C. 5
3
2
B. 10
7
5 D. 3√4 4
9. Which of the following is the quotient of √3
6
5
4 ÷ √16
2
13 4
?
A. 2 √3
4
2 C.
2 √3
4
2
2
B. 2 √ 4
3
D. √3
4
22
10. What is the product of the binomials (√10 + √15) (√10 − √15) ?
A. −5 C. 5
B. 4 D. √15
11. What is the quotient of √11 ÷ (√11 + √3) ?
A. 8+ √11
33
C. 11+√33
8
B. 11− √33
8
D. 33+ √8
11
12.What is the product of (2√6 + 5 √5) (3√6 − 3 √5) ?
A. −30√30 C. −9√30
B. 9 + 39√30 D. −39 + 9√30
13. If √3 is multiplied to √2
4
, what is the product of the expression?
A. √18 4 C. √18
B. √6
5 D. √12 4
14.Which of the following is the simplified form of √13 ÷ √11 ?
A. √11
13
C. √143
11
B. 11
√143
D. √13
11
15.What is the simplest form of the radical expression √32 3 ÷ √2
6
?
A. √16 3 C. √2
6
B. √2
3 D. 2√2
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