what is the square root of 121
The square root of 121 The square root of 121 is expressed as √121 in root form and (121) ½ or (121) 0.5 in exponentiation. The square root of 121 is 11. It is the positive solution of the equation x2 = 121. The number 121 is a perfect square.
- Square root of 121: 11
- Square root of 121 in exponential form: (121) or (121) 0.5
- Square root of 121 in root form: 121
1. What is the square root of 121? 2. Square root of 121 Reasonable or Unreasonable? 3. How to Find the Square Root of 121? 4. Square Root FAQ We know that addition has an inverse in subtraction and multiplication has an inverse in division. Similarly, finding the square root is an inverse of the square. The square root of 121 is the number that is multiplied by itself to get the number 121. Read: Square root of 121 A rational number is a number that can be represented as p/q, where p and q are integers and q not equal to 0. We found √121 = 11. The number 11 is a rational number. So the square root of 121 is a rational number.
How to find the square root of 121?
Read more: What makes someone goofy We’ll discuss two methods of finding the square root of 121
- Element
- Long division
Square root of 121 in prime factors
Prime factorization is a way of expressing a number as a product of its prime factors. The prime factor of 121 is 121 = 11 × 11 = 112. To find the square root of 121, we take a number from each pair of similar numbers and multiply them.
- 121 = 11 × 11
- 121 = 11
The value of the square root of 121 by the long division method involves the following steps:
- Step 1: Starting from the right, we will pair the digits by placing a bar above them.
- Step 2: Find a number that when multiplied by itself, the product is less than or equal to 1. So the number is 1. Given the divisor is 1, we get quotient 1 and remainder 0.
- Step 3: Duplicate the divisor and enter it with an empty cell to the right. Guessing the largest possible digit to fill in the blank will also become the new digit in the quotient, such that when the new divisor is multiplied by the new quotient, the product is less than or equal to the divisor. Divide and write the remainder.
Read more: Simplify & Solve Conditional Equations | Top Q&AExplore Square Roots using interactive illustrations and examples
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Important note:
- Square root is the inverse of square.
- We can find the square root of 121 using prime factors, repeated subtraction, and the long division method.
- The square root of a number that is both negative and positive gives the same numeric value, i.e. the square root of 121 will be 11.
Think Tanks:Read more: What to eat with braces?
- We know that (-11) × (-11) = 121. So we can say that -11 is a square root of 121?
- Can you define a quadratic equation whose roots are 121 and -121?
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