Question

How do you find a perfect square close to $26$?

Answer 1

Hint: In this problem, we have to find the perfect square which is very close to the number twenty-six. First, we want to know what the number is. And also know about the square, square root, perfect square, and perfect square close to the given number. Then only we can solve the given problem.

Complete step-by-step solution:
The term square means in mathematics is the number which when multiplied by itself by two times.
The number when squared is written as the power of the number is two.
That means to multiply the given number by the same number.
We can write this as, ${a^2}$
As well as we know that, it means the given number is multiplied by itself.
Therefore, ${a^2} = a \times a$
The term square root means a number that produces another particular number when it is multiplied by the number itself.
In easy words, we can say this as a factor of a number, that when multiplied by itself gives the original number.
It can be written as,
$\sqrt {{a^2}} = \sqrt {a \times a} $
Therefore the square root of the number is $\sqrt {a \times a} = a$
Now we can understand the square and square root.
And the perfect square is also known as a square number.
It is an integer that is the square of an integer.
The perfect square does not have a decimal or fraction number.
In the given problem we have to find the perfect square number which is nearer or close to the number twenty-six.
First, we are going to find the perfect square number which is between the number one to twenty-six.
Therefore now find the squares for the number from one.
Therefore one square is one is multiplied by one is equal to one.
It can be written as, ${1^2} = 1 \times 1 = 1$
Two squares is two is multiplied by two is equal to four.
Therefore, ${2^2} = 2 \times 2 = 4$
Three squares is three is multiplied by three is equal to nine.
Therefore, ${3^2} = 3 \times 3 = 9$
Four square is,
${4^2} = 4 \times 4 = 16$
Five square is
$5 \times 5 = 25$
Six square is ${6^2} = 6 \times 6 = 36$
Now the number twenty-six is between the two perfect square numbers twenty-five and thirty-six.
But the number twenty-six is close to the perfect square number twenty-five.
Therefore the solution for the question is twenty-five.

Note: A perfect square number from a number system is a number that can be expressed as the square of a number from the same number system. The number must be the whole number. The perfect square number cannot have the decimal value, fractions.