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On simplifications

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

A0.63

B0.65

C0.54

DNone of these

Answer:

A. 0.63

Read Explanation:

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

Since

a2b2=(a+b)(ab)a^2-b^2=(a+b)(a-b)

=(0.65+0.16)(0.650.16)=\sqrt{(0.65+0.16)(0.65-0.16)}

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

=(0.92)(0.72)=\sqrt{(0.9^2)(0.7^2)}

=0.9×0.7=0.9\times{0.7}

=0.63=0.63


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