## Square root and cube root

#### Square root and cube root

1. .00059049 = ?

1. .00059049 = √59049/100000000

##### Correct Option: B

.00059049 = √59049/100000000
= √59049 / 10000
= 243/10000
= 0.0243

1. If √15625 = 125, then the value of [√15625 + √156.25 + √1.5625] is ?

1. Given expression = √15625 + √15625/100 + √15625/10000

##### Correct Option: C

Given expression = √15625 + √15625/100 + √15625/10000
= (125 + 125/10 + 125/100)
= (125 + 12.5 + 1.25)
= 138.75

1. 1296 / ? = ? / 2.25

1. Let , √1296 / N = N / 2.25
Then, 36/N = N /2.25 or N2= 36 x 225/100

##### Correct Option: D

Let , √1296 / N = N / 2.25
Then, 36/N = N /2.25 or N2= 36 x 225/100
∴ N = √(36 x 225) /100 = (6 x 15) / 10 = 9

1. (0.324 x 0.081 x 4.624) / (1.5625 x 0.0289 x 72.9 x 64) = ?

1. Sum of decimal places being equal in Num. and Denom. of given expression
So ,Given expression is equivalent to
(324 x 81 x 4624) / (15625 x 289 x 729 x 64)

##### Correct Option: C

Sum of decimal places being equal in Num. and Denom. of given expression
So ,Given expression is equivalent to
(324 x 81 x 4624) / (15625 x 289 x 729 x 64)
= (18 x 9 x 68) / (125 x 17 x 27 x 8)
= 3/125
= 0.024

1. 0.0009 + √0.01 = ?

1. Given expression = √0.0009 / √0.01
= √0.0009 / 0.0100
= √9 / 100
= √9 / √100

##### Correct Option: B

Given expression = √0.0009 / √0.01
= √0.0009 / 0.0100
= √9 / 100
= √9 / √100
= 3 / 10
= 0.3