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Question

Using identities, find the value of (4.5)2.

A
20
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B
20.25
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C
19.25
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D
19
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Solution

The correct option is B 20.25
(4.5)2 can be written as (5.00.5)2
This is in the form of (ab)2 where, a= 5 and b = 0.5
We know that,
(ab)2=a2+b22ab
(4.5)2=(5)2+(0.5)22(5)(0.5)
=25+0.255
20.25
Hence, the value of (4.5)2 is 20.25.

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