What Is The Square Root Of 100?

You are here to get the answer to the question of what is the Square Root Of 100, let us see how it is calculated. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 100 square root will be a number which when multiplied by itself gives you the answer 100. Let us see about the Square Root Of 100.

What Is The Square Root Of 100?

The Square Root Of 100 in radical form is written as √100 and the answer to the square root of 100 is 10.

Square Root Of 100

√100 = 10

Square Root Of 100 In Exponential Form

√100 = (100)½

Square Root Of 100 In Radical Form

√100 = √100

How To Find The Square Root Of 100?

To find the square root of 100 there are 2 methods.

Prime Factorization
Long Division Method

Let us find out the square root of 100 by both methods

Prime Factorization

To get the answer to the square root for 100 through the radical form method is very simple.

Now as 100 is a prime number so

100 = 2 x 50
100 = 2 x 2 x 25
100 = 2 x 2 x 5 x 5

So,

√100 = √2x2x5x5

√100 = √(2×5)²

√100 = √(10)²

√100 = 10

Therefore, the answer for √100 = 10

Long Division Method

The Square Root Of 100 in long division method is done in these steps

To find the square root of 100 using the long division method, follow these steps:

Step 1:

Write the numbers on the right side we will but a bar above it

Step 2:

Write such number on the left side that when we multiplied by itself you get a number that is either <=100. Here you need to write 10 as the divisor as when multiplied 10 by 10 you get 100 and the remainder will be 0.

Your quotient is 10 And your divisor is 10 and the remainder is 0 as you have got your remainder as 0 it cannot be further divided.

So the square root of √100 is 10

Is the Square Root Of 100 Rational or Irrational?

The Square Root Of 100 is a rational number.

As there is the number 10 that when multiplied by itself will give you the answer 100 so it is a perfect square so this number is a rational number.

Also, the square root of 100 is 10, giving you a remainder of 0.

So √100 is a rational number

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FAQ

What Is The Square Root To 100?

The square root to 100 is 10 as 100 = 10 x 10.

Is 100 A Perfect Square?

Yes, 100 is a perfect square as 10 x 10 is 100 which makes √100 a perfect square.

What Are The Square Root 1 To 100?

The square roots from 1 to 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 which are perfect squares and known as rational numbers where as all the other numbers are irrational numbers.

Does Squaring A Negative Make It Positive?

Answer: Yes.

The square of a number can be found by multiplying the number by itself. Explanation: The product of two negative numbers is always positive. If we find the square of a negative number, say -x, where x > 0, then (-x) × (-x) = x².

What Is The Formula Of 100?

So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 25% is 5, so 50% is 10, 75% is 15, and 100% is 20.

What Factors Of 100 Are Perfect Squares?

The prime factors of N = 100 are 2, 2, 5, 5. Therefore, the number of factors that are perfect square are (1 + 2/2) * (1 + 2/2) = 4. The factors are 1, 4, 25, 100.

Conclusion

So 10 is the Square Root Of 100 and you can calculate the root of 100 by 2 methods which are the prime factorisation & Long Division Method. After understanding the methods mentioned above you can easily find the Square Root Of 100.