## Square root and cube root

#### Square root and cube root

1. Find the cube root of 19683.

1. In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.

##### Correct Option: D

In 19683, 19 lies between 23 and 33, so left digit is 2 and 683 ends with 3, so right digit is 7.
thus 27 is a cube root of 19683.

1. If √y/169 = 54/39, then y is equal to ?

1. y/169= 54/39
⇒ y/169 = (54/39) x (54/39)

##### Correct Option: B

y/169= 54/39
⇒ y/169 = (54/39) x (54/39)
∴ y= (54/39) x (54/39) x 169 = 324

1. 112/√196 x √579/12 x √256/8 = ?

1. Given Expression 112/√196 x √579/12 x √256/8
=(112/14) x (24/12) x (16/8)

##### Correct Option: D

Given Expression 112/√196 x √579/12 x √256/8
=(112/14) x (24/12) x (16/8)
= 32

1. Given that √4096 = 64, the value of √4096 + √40.96 + √.004096 is ?

1. 4096 + √40.96 + √.004096
= √4096 + √4096/100 + √4096/1000000
=√4096 + √4096/10 + √4096/1000

##### Correct Option: B

4096 + √40.96 + √.004096
= √4096 + √4096/100 + √4096/1000000
=√4096 + √4096/10 + √4096/1000
= 64 + 64/10 + 64/1000
= 70.464

1. .04

1. .04 = √4/100

.04 = √4/100
= 2/10
= 0.2