Problems on Square Root and Cube Root Questions & Answers - 1

Ans: D

Given exp. = $$√{1/100}$$ + $$√{81/100}$$ + $$√{121/100}$$ + $$√{9/10000}$$

= $${1}/{10}$$ + $${9}/{10}$$ + $${11}/{10}$$ + $${3}/{100}$$

= 0.1 + 0.9 + 1.1 + 0.03 = 2.13

Ans: C

(11)² = 121 and (17)² = 289.

So, the perfect squares between 120 and 300 are the squares of numbers from 11 to 17. Clearly, these are 7 in number.

Ans: B

Let $$√x$$ × $$√484$$ = 1034.

Then, $$√x$$ × 22 = 1034.

⇔ $$√x$$ = $${1034}/{22}$$ = 47.

⇔ x = (47)² = 2209.

Ans: A

Sum of prime numbers greater than 4 but less than 16

= (5 + 7 + 11 + 13) = 36.

∴ $${1}/{4}× 36$$ = 9 = 3².

Ans: C

$$√0.09$$ = $$√{9/100}$$ = $${3}/{10}$$ = 0.3, which is rational.