The square source of 121 is expressed as √121 in the radical type 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 find the Square source of 121? 4 FAQs on Square source of 121

We understand that addition has one inverse procedure in subtraction and also multiplication has actually an inverse procedure in the division. Similarly, finding the square root is an inverse operation of squaring. The square source of 121 is the number that gets multiplied to chin to give the number 121.

A reasonable number is a number that can be to express in the type of p/q, where p and q are integers and also q is no equal to 0. We already found that 121 = 11. The number 11 is a reasonable number. So, the square root of 121 is a rational number.

## How to uncover the Square source of 121?

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

Prime FactorizationLong division

### Square root of 121 By prime Factorization

Prime administer is a way of to express a number together a product of its prime factors. The prime factorization of 121 is 121 = 11 × 11 = 112. To discover the square source of 121, we take one number from every pair of the exact same numbers and also we multiply them.

121 = 11 × 11 121 = 11

### Square source of 121 By Long Division

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

Step 1: starting from the right, we will pair increase the number by placing a bar over them.Step 2: find a number which, once multiplied come itself, gives the product much less than or same to 1. So, the number is 1. Putting the divisor as 1, we obtain the quotient together 1 and the remainder 0Step 3: double the divisor and enter it through a empty on its right. Assumption: v the largest feasible digit to to fill the blank which will additionally become the new digit in the quotient, together that once the new divisor is multiplied to the brand-new quotient the product is much less than or equal to the dividend. Divide and also write the remainder.

See more: The Second Number In An Ordered Pair, What Is The Second Number Of An Ordered Pair

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Important Notes:

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

Think Tank:

We know that (-11) × (-11) =121. So, deserve to we say that -11 is a square root of 121?Can you identify a quadratic equation who roots room 121 and -121?