Question

$5 \sqrt{6} \times 5 \sqrt{6}$
​

Answer 1

Answer:

Exponents and roots problems are very common on the GMAT. So, it's extremely important to know how to manipulate them, how to factor out, take roots, multiply, divide, etc. Below are 11 problems to test your skills. Please post your thought process/solutions along with the answers.

I'll post OA's with detailed solutions tomorrow. Good luck.

1. What is the value of ?

A.

B.

C.

D. 50

E. 60

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029216

2. What is the units digit of ?

A. 0

B. 2

C. 4

D. 6

E. 8

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029219

3. If and what is the value of ?

A. 14/5

B. 5

C. 28/5

D. 13

E. 14

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029221

4. What is the value of ?

A. 5^6

B. 5^7

C. 5^8

D. 5^9

E. 5^10

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029222

5. If and is a multiple of , where is a non-negative integer, then what is the value of ?

A. -26

B. -25

C. -1

D. 0

E. 1

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029223

6. If then which of the following must be true?

A.

B. x>-2

C. x^2<4

D. x^3<-8

E. x^4>32

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029224

7. If , then which of the following must be true:

A. x<6

B. 6<x<8

C. 8<x<10

D. 10<x<12

E. x>12

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029227

8. If is a positive number and equals to , where the given expression extends to an infinite number of roots, then what is the value of x?

A.

B. 3

C.

D.

E. 6

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029228

9. If is a positive integer then the value of is closest to which of the following?

A.

B.

C.

D.

E.

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029229

10. Given that and , then what is the value of ?

A. 5

B. 10

C. 15

D. 20

E. Can not be determined

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029231

11. If , and then what is the value of ?

A. 2

B. 2^(11)

C. 2^(32)

D. 2^(37)

E. 2^(64)

Solution: tough-and-tricky-exponents-and-roots-questions-125956-40.html#p1029232

Last edited by Bunuel on 15 Mar 2019, 03:10, edited 1 time in total.

Updated.

Answer 2

Answer:

5√6×5√6=150

Step-by-step explanation:

5√6×5√6

5×5√6×6

25√36

25×6

=150

Hope it helps you...