Question

.A number is called a perfect square if it is the square of a whole number. If m and n are two perfect squares, which of the following MUST also be a perfect square?​

Answer 1

Answer:

Let's take the square of 2 and 3 or any no. that is 4 and 9

Then, put the value in m and n

M=4 and n=9

then 4 is given to us in the option

We will put the value of n=9

4n= 4×9=36

So, 36 is the square of 6

Answer 2

In mathematics, a square is a product of a whole number with itself. For instance, the product of a number 2 by itself is 4. In this case, 4 is termed as a perfect square.

• A square of a number is denoted as n × n. Similarly, the exponential notation of the square of a number is n 2, usually pronounced as “n” squared. Square numbers are usually non-negative.
• A perfect square is a number that is generated by multiplying two equal integers by each other. For example, the number 9 is a perfect square because it can be expressed as a product of two equal integers: 9 = 3 x 3.
• There are many ways of determining if a number is perfect. A given number can be checked whether it is a perfect square using repeated division by prime factors.

• For example, to check whether 441 is a perfect square:

                  Start by factorizing a number.

                    441 = 3 × 3 × 7 × 7

                    Both numbers exist twice. Make two sets.

                    441 = 3 × 7 × 3 × 7

                    Multiply them = 21 × 21

                    It can be written as = 212

      Hence, 441 is a perfect square.

You can also check whether a given number is a perfect square by finding the number’s square root. If the square root of a number is a whole number, then the number is a perfect square.