## Square root and cube root

#### Square root and cube root

1. 4/3 - √3/4 = ?
1. 1/2√3
2. - 1/2√3
3. 1
4. 2√3

1. 4/√3 - √3/√4
= 2/√3 - √3/2
= (4 - 3)/2√3
= 1/2√3

##### Correct Option: A

4/√3 - √3/√4
= 2/√3 - √3/2
= (4 - 3)/2√3
= 1/2√3

1. If √2 = 1.4142, then the approximate value of 1/√2/9 is ?
1. 0.2321
2. 0.4714
3. 0.3174
4. 0.4174

1. 2/9
= √2/√9
= √2/3
= 1.4142/3

##### Correct Option: B

2/9
= √2/√9
= √2/3
= 1.4142/3

∴ 1/√2/9 = 0.4714

1. If √3 = 1.732, then the approximate value of 1/√3 is ?
1. 0.617
2. 0.313
3. 0.577
4. 0.173

1. 1/√3 = 1/√3 x (√3 / √3)
= √3/3
= 1.732 / 3

##### Correct Option: C

1/√3 = 1/√3 x (√3 / √3)
= √3/3
= 1.732 / 3
= 0.577

1. If √24 = 4.899, then the value of √8/3 is ?
1. 0.544
2. 2.666
3. 1.633
4. 1.333

1. 8/3 =√24/9
= √24/3

##### Correct Option: C

8/3 =√24/9
= √24/3
= 4.899/3
=1.633

1. ? / √2.25 = 550
1. 825
2. 82.5
3. 3666.66
4. 2

1. Let x/ √2.25
= 550.

Then, x/1.5 = 550
∴ x = (550 x 1.5)
= (550 x 15/10) = 825

##### Correct Option: A

Let N / √2.25 = 550.
Then, N / 1.5 = 550
∴ N = (550 x 1.5)
= (550 x 15) /10
= 825