# what is the square root of 121 | Top Q&A

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Sq. Root of 121

The sq. root of 121 is expressed as √121 within the radical kind and as (121)½ or (121)0.5 within the exponent kind. The sq. root of 121 is 11. It’s the optimistic answer of the equation x2 = 121. The quantity 121 is an ideal sq..

• Sq. Root of 121: 11
• Sq. Root of 121 in exponential kind: (121)½ or (121)0.5
• Sq. Root of 121 in radical kind: 121

1. What Is the Sq. Root of 121? 2. Is Sq. Root of 121 Rational or Irrational? 3. Discover the Sq. Root of 121? 4. FAQs on Sq. Root of 121

We all know that addition has an inverse operation in subtraction and multiplication has an inverse operation within the division. comparable, discovering the sq. root is an inverse operation of squaring. The sq. root of 121 is the quantity that will get multiplied to itself to offer the quantity 121.

Studying: what’s the sq. root of 121

A rational quantity is a quantity that may be expressed within the type of p/q, the place p and q are integers and q will not be equal to 0. We already discovered that 121 = 11. The quantity 11 is a rational quantity. So, the sq. root of 121 is a rational quantity.

## Discover the Sq. Root of 121?

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We’ll focus on two strategies of discovering the sq. root of 121

• Prime Factorization
• Lengthy division

### Sq. Root of 121 By Prime Factorization

Prime factorization is a manner of expressing a quantity as a product of its prime elements. The prime factorization of 121 is 121 = 11 × 11 = 112. To search out the sq. root of 121, we take one quantity from every pair of the identical numbers and we multiply them.

• 121 = 11 × 11
• 121 = 11

The worth of the sq. root of 121 by lengthy division technique consists of the next steps:

• Step 1: Ranging from the fitting, we are going to pair up the digits by placing a bar above them.
• Step 2: Discover a quantity which, when multiplied to itself, provides the product lower than or equal to 1. So, the quantity is 1. Placing the divisor as 1, we get the quotient as 1 and the rest 0
• Step 3: Double the divisor and enter it with a clean on its proper. Guess the biggest potential digit to fill the clean which may also grow to be the brand new digit within the quotient, such that when the brand new divisor is multiplied to the brand new quotient the product is lower than or equal to the dividend. Divide and write the rest.

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• Sq. Root of 64
• Sq. Root of 144
• Sq. Root of 1000
• Sq. root of twenty-two
• Sq. Root of 81

Necessary Notes:

• The sq. root is the inverse operation of squaring.
• We are able to discover the sq. root of 121 utilizing prime factorization, repeated subtraction, and the lengthy division technique.
• The sq. root of a quantity is each detrimental and optimistic for a similar numerical worth ie, the sq. root of 121 shall be 11.

Assume Tanks:

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• We all know that (-11) × (-11)=121. So, can we are saying that -11 is a sq. root of 121?
• Can you establish a quadratic equation whose roots are 121 and -121?