Question

Can someone please answer this! (1/4 + 5/4)^2 +3/4

Answer 1

(1/4 + 5/4)^2 +3/4 = 12

Explanation:

To solve the problem given, we will follow the steps below;

(1/4 + 5/4)^2 +3/4

First, we will find the value of (1/4 + 5/4)^2

1/4 + 5/4 = 6/4

(1/4 + 5/4)^2 = (6/4)^2 =
`(36)/(16)`

`(36)/(16)` can be reduced to
`(9)/(4)`

This implies that ; (1/4 + 5/4)^2 =
`(9)/(4)`

Then, we can now add
`(9)/(4)` and
`(3)/(4)` together

(1/4 + 5/4)^2 +3/4 =
`(9)/(4)` +
`(3)/(4)` =
`(12)/(3)` = 4

Therefore (1/4 + 5/4)^2 +3/4 = 12

Answer 2

3

Explanation:

Given:
`$  ((1)/(4) + (5)/(4) )^(2) + (3)/(4) $`

This is equivalent to:
`$ ( (6)/(4)) ^2 + (3)/(4) $`

⇒
`$ ((3)/(2))^2 + (3)/(4) $`

⇒
`$ (9)/(4) + (3)/(4) $`

⇒
`$(12)/(4) = 3$`

Therefore,
`$((1)/(4) + (5)/(4) )^(2) + (3)/(4) = 3 $`