What is the square root of 49? Please teach me the solution. I’m trying to help a child with her assignment, but I’ve long forgotten how to solve these things.
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There are different ways to find a Square Root.
1. Prime Factorization
For this, you need to find the prime factor of the number.
What is Prime Factor?
A factor is a number that divides the given number without any remainder.
The factors of 49 are 1, 7, 49 because 49 x 1 = 49, and 7 x 7 = 49
A prime number is any number that is only divisible by itself and 1.
And prime factors are factors of a number that is a prime number. The number 1 is not considered a prime factor, but a unit.
A square root is a factor of a number that when multiplied by itself, gives the original number.
So, from the factors, we get number 7, and 7 x 7 = 49. Thus, 7 is the square root of 49.
2. Long Division
For this, you need to find a number that will give a product less than or equal to 49 when multiplied by itself. Since 49 is a multiple of 7, we use that.
We get a quotient of 7 and 0 remainder – that means 49 is a perfect square.