Question

On simplifications

$\sqrt{(0.65)^2-(0.16)^2}$ reduces to

• A. 0.63
• B. 0.65
• C. 0.54
• D. None of these

Answer 1

Answer:

A. 0.63

$\sqrt{(0.65)^2-(0.16)^2}$,

Since

$a^2-b^2=(a+b)(a-b)$

$=\sqrt{(0.65+0.16)(0.65-0.16)}$

$=\sqrt{(0.81)(0.49)}$

$=\sqrt{(0.9^2)(0.7^2)}$

$=0.9\times{0.7}$

$=0.63$