Question

7 squared by 2 +3(4 squared by 2 +3+2)

Answer 1

The answer of the given expression is
`(127)/(2)`.

Explanation:

Given
`(7^2)/(2)+3((4^2)/(2)+3+2)`.

Step 1 : Firstly we have to solve for brackets, adding the fraction with digits. For this we have to multiply 3 and 2 by 2 by 2 which gives the same denominator.

`(4^2)/(2)+3+2=(16)/(2)+3+2\\(16)/(2)+(3*2)/(2)+(2*2)/(2)= (16)/(2)+(6)/(2)+(4)/(2)=(26)/(2)`

Step 2 : Fraction under the brackets is solved now we have to multiply the result with 3 to remove the brackets.

`(26)/(2)*3=(78)/(2)`

Step 3 : Now we have an expression with same denominator, here simply add and we get the result.

`(7^2)/(2)+(78)/(2)=(49)/(2)+(78)/(2)=(127)/(2)`

Hence the solution for given expression is
`(127)/(2)`.