Match Square Root Expressions

Question

Match List-I with List-II: | List I | List II | | :--- | :--- | | A. $\sqrt{\frac{0.81 	imes 0.484}{0.064 	imes 6.25}}$ | I. $0.024$ | | B. $\sqrt{\frac{0.204 	imes 42}{0.07 	imes 3.4}}$ | II. $0.99$ | | C. $\sqrt{\frac{0.081 	imes 0.324 	imes 4.624}{1.5625 	imes 0.0289 	imes 72.9 	imes 64}}$ | III. $50$ | | D. $\sqrt{\frac{9.5 	imes 0.085}{0.0017 	imes 0.19}}$ | IV. $6$ | Choose the correct answer from the options given below :

Accepted Answer

C. A. $\sqrt{\frac{81 	imes 484}{64 	imes 625}} = \sqrt{\frac{0.9^2 	imes 2.2^2}{0.8^2 	imes 2.5^2}} = \frac{0.9 	imes 2.2}{0.8 	imes 2.5} = \frac{1.98}{2} = 0.99$ (II). B. $\sqrt{\frac{204 	imes 42}{7 	imes 34}} = \sqrt{6 	imes 6} = 6$ (IV). C. Evaluating C gives $0.024$ (I). D. $\sqrt{\frac{9.5 	imes 0.085}{0.0017 	imes 0.19}} = \sqrt{50 	imes 50} = 50$ (III). Matching: (A)-(II), (B)-(IV), (C)-(I), (D)-(III). Hence, Option C is correct.

Answer

(A) - (I), (B) - (IV), (C) - (III), (D) - (II)

Answer

(A) - (I), (B) - (III), (C) - (IV), (D) - (II)

Answer

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

Answer

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Match Square Root Expressions

Explanation

Related Simplification questions

Practise this under exam conditions

List I	List II
A. $\sqrt{\frac{0.81 \times 0.484}{0.064 \times 6.25}}$	I. $0.024$
B. $\sqrt{\frac{0.204 \times 42}{0.07 \times 3.4}}$	II. $0.99$
C. $\sqrt{\frac{0.081 \times 0.324 \times 4.624}{1.5625 \times 0.0289 \times 72.9 \times 64}}$	III. $50$
D. $\sqrt{\frac{9.5 \times 0.085}{0.0017 \times 0.19}}$	IV. $6$