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

You are watching: What is the square root of 100

Square root 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 ~ above Square root of 100
6.Thinking out of the Box!

What Is the Square source of 100?

We understand that addition has an inverse procedure insubtraction and also multiplication has actually an inverse operation in the division. Similarly, finding the square root is an inverse operation of squaring. The square source of 100 is the number the gets multiplied to itself to give thenumber 100.

Look at the image below.


Is the Square source of 100Rational orIrrational?

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

How to find the Square root of 100?

We will talk about two methods of recognize the square source of 100

Prime FactorizationLong division

Square root of 100By element Factorization

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

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

Square source of 100ByLong Division

The worth of the square source of 100by long division method consists of the adhering to steps:

Step 1: starting from the right, we will pair increase the number by putting a bar over them.Step 2: discover a number which, as soon as multiplied to itself, provides the product much less than or equal to 1. So, the number is 1. Placing the divisor together 1, we gain the quotient as 1 and the remainder 0.Step 3: twin the divisor and also enter it v a blank on its right. Guess: v the largest possible digit to fill the empty which will likewise become the brand-new digit in the quotient, such that once the new divisor is multiply to the new quotient the product is much less than or equal to the dividend. Divide and write the remainder.

See more: Convert 6 Kilometers Is How Many Meters Are In 6 Km? 6 Km To M (Convert 6 Kilometers To Meters)


Explore Square roots using illustrations and also interactive examples

Important Notes:

The square source is the inverse operation of squaring.We can find the square source of 100 using prime factorization, recurring subtraction, and the long department method.The square source of a number is both an adverse and optimistic for the exact same numerical value i.e., the square source of 100will be 10.

Think Tank:

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