Model 3 Simplification based on cube & cube root Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

By what least number should 675 be multiplied so as to obtain a perfect cube number ?

a) 40

b) 3

c) 24

d) 5

Question : 2

$√^3{19/513}$ is equal to

a) $1/√3$

b) $1/9$

c) $1/√27$

d) $1/3$

Question : 3

If $√^3{3^n}$ = 27, then the value of n is :

a) 3

b) 9

c) 1

d) 6

Question : 4

$√^3{15612 + √{154 + √{225}}}$ is equal to

a) 125

b) 15

c) 75

d) 25

Question : 5

$√^3{ √{0.000064}}$ is equal to

a) 0.2

b) 0.0002

c) 0.02

d) 0.002

Question : 6

The smallest positive integer n, for which 864n is a perfect cube, is :

a) 4

b) 1

c) 3

d) 2