The square root of 100 is expressed together √100 in the radical form and together (100)½ or (100)0.5 in the exponent form. The square root of 100 is 10. That is the hopeful solution that the equation x2 = 100. The number 100 is a perfect square.

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Square source of 100: 10Square source of 100 in exponential form: (100)½ or (100)0.5Square root of 100 in radical form: √100
1.What Is the Square source of 100?
2.IsSquare root of 100Rational or Irrational?
3.How to discover the Square source of 100?
4.Important note on Square source of 100
5.FAQs top top Square source of 100
6.Thinking the end of the Box!

What Is the Square root of 100?

We recognize that enhancement has an inverse operation insubtraction and also multiplication has actually an inverse operation in the division. Similarly, detect the square source is one inverse operation of squaring. The square source of 100 is the number the gets multiply to itself to give thenumber 100.

Look at the image below.


Is the Square source of 100Rational orIrrational?

A rational number is a number that can be expressed in the type of p/q, whereby p and q room integers and q is no equal to 0. We currently found that100= 10. The number 10 is a reasonable number. So, the square root of 100 is a rational number.

How to find the Square root of 100?

We will talk about two techniques of detect the square source of 100

Prime FactorizationLong division

Square source of 100By element Factorization

Prime factorization is a means of expressing a number as a product that its element factors. The prime factorization that 100is 100= 2× 2× 5× 5. To find the square source of 100, us take one number from each pair the the very same numbers and also we multiply them.

100 = 2× 2 × 5 × 5100= (2× 2 × 5 × 5) = 2 × 5 = 10

Square root of 100ByLong Division

The worth of the square root of 100by long division method is composed of the complying with steps:

Step 1: starting from the right, we will certainly pair up the number by putting a bar over them.Step 2: uncover a number which, once multiplied to itself, offers the product much less than or same to 1. So, the number is 1. Putting the divisor as 1, we acquire the quotient together 1 and the remainder 0.Step 3: double the divisor and enter it with a empty on its right. Assumption: v the largest feasible digit to to fill the empty which will additionally become the brand-new digit in the quotient, such that once the new divisor is multiplied to the new quotient the product is less than or same to the dividend. Divide and write the remainder.

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Important Notes:

The square source is the inverse operation of squaring.We can uncover the square root of 100 using prime factorization, recurring subtraction, and the long department method.The square root of a number is both negative and confident for the very same numerical worth i.e., the square root of 100will it is in 10.

Think Tank:

We know that(-10)×(-10) =100. So, can we say the -10 is a square root of 100?Can you recognize a quadratic equation who roots room 100 and -100?