What is y if y² = (5 x 22)² ?

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.