Q.

The value of the expression (7.8) 2 (2.2) 2 is [[1]].


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answer is 56.

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Detailed Solution

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The value of the expression (7.8) 2 (2.2) 2 is 56.
An expression is given as (7.8) 2 (2.2) 2 , and it is asked to evaluate it.
It can be observed that the expression is of the general form a 2 b 2 ,
where a=7.8 and b=2.2 .
To evaluate this expression, we use the identity a 2 b 2 = a+b ab , and then simplify the expression.
So, using the identity, the given expression can be written as follows,
(7.8) 2 (2.2) 2 = 7.8+2.2 7.82.2
7.8 2 2.2 2 = 5.6 10 =56
Therefore, the expression (7.8) 2 (2.2) 2 , is evaluated and the final value is obtained as 56 .
 
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The value of the expression (7.8) 2 − (2.2) 2 is [[1]].