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

Is 26 a perfect square? The drop down boxes are: is an or is no,square root or square-example-1
User Erwanp
by
2.6k points

1 Answer

20 votes
20 votes

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

Step-by-step 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} \\ √(26)=√(b^2) \\ √(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

User Pklimczu
by
2.8k points
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