The square root of 100 is expressed as √100 in the radical develop and as (100)½ or (100)0.5 in the exponent develop. The square root of 100 is 10. It is the positive solution of the equation x2 = 100. The number 100 is a perfect square.

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Square Root of 100: 10Square Root of 100 in exponential form: (100)½ or (100)0.5Square Root of 100 in radical form: √100
1.What Is the Square Root of 100?
2.IsSquare Root of 100Rational or Irrational?
3.How to Find the Square Root of 100?
4.Important Notes on Square Root of 100
5.FAQs on Square Root of 100
6.Thinking Out of the Box!


What Is the Square Root of 100?


We recognize that enhancement has an inverse procedure insubtractivity and multiplication has an inverse operation in the division. Similarly, finding the square root is an inverse operation of squaring. The square root of 100 is the number that gets multiplied to itself to give thenumber 100.


Look at the photo below.

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Is the Square Root of 100Rational orIrrational?


A rational number is a number that have the right to be expressed in the develop of p/q, wright here p and q are integers and also q is not equal to 0. We already found that100= 10. The number 10 is a rational number. So, the square root of 100 is a rational number.

How to Find the Square Root of 100?

We will certainly comment on two methods of finding the square root of 100

Prime FactorizationLong division

Square Root of 100By Prime Factorization

Prime factorization is a method of expushing a number as a product of its prime components. The prime factorization of 100is 100= 2× 2× 5× 5. To discover the square root of 100, we take one number from each pair of the 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 department technique is composed of the adhering to steps:

Step 1: Starting from the best, we will pair up the digits by placing a bar over them.Step 2: Find a number which, once multiplied to itself, gives the product less than or equal to 1. So, the number is 1. Putting the divisor as 1, we get the quotient as 1 and the remainder 0.Step 3: Double the divisor and enter it with a empty on its best. Guess the largest possible digit to fill the blank which will likewise come to be the brand-new digit in the quotient, such that as soon as the new divisor is multiplied to the new quotient the product is less than or equal to the dividfinish. Divide and compose the remainder.

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Important Notes:

The square root is the inverse procedure of squaring.We have the right to discover the square root of 100 making use of prime factorization, repeated subtraction, and the long department method.The square root of a number is both negative and also positive for the exact same numerical value i.e., the square root of 100will be 10.

Think Tank:

We know that(-10)×(-10) =100. So, have the right to we say that -10 is a square root of 100?Can you recognize a quadratic equation whose roots are 100 and also -100?