Answer :
Answer:
3
Step-by-step explanation:
Given: [tex]$ (\frac{1}{4} + \frac{5}{4} )^{2} + \frac{3}{4} $[/tex]
This is equivalent to: [tex]$ ( \frac{6}{4}) ^2 + \frac{3}{4} $[/tex]
⇒ [tex]$ (\frac{3}{2})^2 + \frac{3}{4} $[/tex]
⇒ [tex]$ \frac{9}{4} + \frac{3}{4} $[/tex]
⇒ [tex]$\frac{12}{4} = 3$[/tex]
Therefore, [tex]$(\frac{1}{4} + \frac{5}{4} )^{2} + \frac{3}{4} = 3 $[/tex]
Answer:
(1/4 + 5/4)^2 +3/4 = 12
Step-by-step 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 = [tex]\frac{36}{16}[/tex]
[tex]\frac{36}{16}[/tex] can be reduced to [tex]\frac{9}{4}[/tex]
This implies that ; (1/4 + 5/4)^2 = [tex]\frac{9}{4}[/tex]
Then, we can now add [tex]\frac{9}{4}[/tex] and [tex]\frac{3}{4}[/tex] together
(1/4 + 5/4)^2 +3/4 = [tex]\frac{9}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{12}{3}[/tex] = 4
Therefore (1/4 + 5/4)^2 +3/4 = 12