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Compute the value of  [(0.35)2−(0.02)2]0.19\frac{[ (0.35)^2 - (0.02)^2]}{0.19}0.19[(0.35)2−(0.02)2]​  up to 3 decimal places:
Question



Compute the value of  [(0.35)2(0.02)2]0.19\frac{[ (0.35)^2 - (0.02)^2]}{0.19}  up to 3 decimal places:

A.

0.064

B.

0.642

C.

0.006

D.

0.694

Correct option is B

Given: 

[(0.35)2(0.02)2]0.19\frac{[ (0.35)^2 - (0.02)^2]}{0.19}​​

Formula used:
a2b2=(a+b)(ab)a^2 - b^2 = (a+b)(a-b)​​
Calculation:
=(0.35+0.02)(0.350.02)0.19 =(0.37)(0.33)0.19 =0.642= \frac{(0.35+0.02)(0.35−0.02)}{0.19​} \\ \ \\= \frac{(0.37)(0.33)}{0.19} \ = 0.642​​

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