Question

Is 26 a perfect square? The drop down boxes are: is an or is no,square root or square, &is not or is

Answer 1

there is not integer whose square is 26, therefore, 26 is not a perfect square

Explanation

a square number or perfect square is an integer that is the square of an integer

$a=b^2$

if b is a integer, then a is a perfect square

Step 1

so

let

a= 26

now, replace and solve for b, if b is a integer then a is a perfect square

$\begin{gathered} a=b^2 \\ 26=b^2 \\ square\text{ root in both sides} \\ \sqrt{26}=\sqrt{b^2} \\ \sqrt{26}=b \end{gathered}$

the square root of 26 is not an integer, so

26 is not a perfect square

so, the answer is

there is not integer whose square is 26, therefore, 26 is not a perfect square

I hope this helps you