Powers and Roots Practice Test 3

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Question : 15 of 40

Marks: +1, -0

Simplify:

√{[(13.8)^2- (12.8)^2]÷[ (0.04)^2+ (0.04) (26.56) ]}

$√ 5$
$√6$
5
-5
6

Solution:

√{[(13.8)^2- (12.8)^2]/[ (0.04)^2+ (0.04) (26.56) ]}

= √{{ (13.8+12.8 )(13.8-12.8 ) }/ {(0.04)(0.04+26.56)}}

=√{{(26.6)(1)}/{0.04×26.6}}

=√{1/0.04}=√25=5

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