What is y if y² = (5 x 22)² ?

What is y if y² = (5 x 22)² ?

• A. 10.5
• B. 110
• C. 120
• D. 1,200

Answer: (B)

To find the value of \( y \) in the equation \( y^2 = (5 \times 22)^2 \), begin by simplifying the expression on the right side. First, calculate \( 5 \times 22 \): \[ 5 \times 22 = 110 \] Now, substitute this value back into the original equation: \[ y^2 = 110^2 \] Next, calculate \( 110^2 \): \[ 110^2 = 12100 \] At this point, we have: \[ y^2 = 12100 \] To find \( y \), take the square root of both sides: \[ y = \sqrt{12100} \] Calculating the square root: \[ y = 110 \] Therefore, the correct value for \( y \) is 110. This solution demonstrates the method of simplifying square equations by first breaking down the multiplication before applying the square, ensuring the calculations are straightforward and accurate.

To find the value of ( y ) in the equation ( y^2 = (5 \times 22)^2 ), begin by simplifying the expression on the right side.

First, calculate ( 5 \times 22 ):

[

5 \times 22 = 110

]

Now, substitute this value back into the original equation:

[

y^2 = 110^2

]

Next, calculate ( 110^2 ):

[

110^2 = 12100

]

At this point, we have:

[

y^2 = 12100

]

To find ( y ), take the square root of both sides:

[

y = \sqrt{12100}

]

Calculating the square root:

[

y = 110

]

Therefore, the correct value for ( y ) is 110. This solution demonstrates the method of simplifying square equations by first breaking down the multiplication before applying the square, ensuring the calculations are straightforward and accurate.