The square source of 121 is expressed as √121 in the radical form and together (121)½ or (121)0.5 in the exponent form. The square root of 121 is 11. It is the positive solution that the equation x2 = 121. The number 121 is a perfect square.

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Square root of 121: 11Square source of 121 in exponential form: (121)½ or (121)0.5Square root of 121 in radical form: √121
 1 What Is the Square source of 121? 2 Is Square root of 121 Rational or Irrational? 3 How to discover the Square source of 121? 4 FAQs on Square root of 121

We recognize that enhancement has an inverse procedure in subtraction and multiplication has an inverse operation in the division. Similarly, finding the square root is one inverse operation of squaring. The square root of 121 is the number that gets multiplied to itself to offer the number 121.

A reasonable number is a number that can be to express in the kind of p/q, wherein p and also q space integers and also q is not equal to 0. We currently found that 121 = 11. The number 11 is a reasonable number. So, the square source of 121 is a rational number.

## How to discover the Square root of 121?

We will comment on two techniques of recognize the square source of 121

Prime FactorizationLong division

### Square source of 121 By element Factorization

Prime administrate is a means of expressing a number together a product of its prime factors. The prime factorization of 121 is 121 = 11 × 11 = 112. To find the square source of 121, we take one number from each pair the the exact same numbers and also we main point them.

121 = 11 × 11 121 = 11

### Square source of 121 By Long Division

The value of the square source of 121 by long division method consists of the complying with steps:

Step 1: starting from the right, we will certainly pair increase the number by placing a bar over them.Step 2: uncover a number which, when multiplied come itself, offers the product less than or equal to 1. So, the number is 1. Putting the divisor as 1, we gain the quotient together 1 and the remainder 0Step 3: twin the divisor and also enter it v a empty on that right. Assumption: v the largest possible digit to to fill the empty which will likewise become the brand-new digit in the quotient, such that when the new divisor is multiplied to the brand-new quotient the product is much less than or same to the dividend. Divide and also write the remainder.

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Important Notes:

The square source is the inverse procedure of squaring.We can discover the square source of 121 using prime factorization, recurring subtraction, and also the long department method.The square source of a number is both an adverse and optimistic for the very same numerical worth i.e., the square root of 121 will it is in 11.

Think Tank:

We understand that (-11) × (-11) =121. So, have the right to we say that -11 is a square root of 121?Can you determine a quadratic equation whose roots space 121 and -121?