## Square root and cube root

#### Square root and cube root

1. Find the cube root of 19683.
1. 25
2. 26
3. 28
4. 27

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. 108
2. 324
3. 2916
4. 4800

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. 8
2. 12
3. 16
4. 32

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. 70.4
2. 70.464
3. 71.104
4. 71.4

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. .02
2. .2
3. .002
4. None of these

1. .04 = √4/100

.04 = √4/100
= 2/10
= 0.2