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How to Calculate the Square Root of 120?
To find the square root of 120, we use the square root function on a calculator, which is usually written as SQRT(x). We plug in 120 for x, and the calculator gives us the answer of 10.6.
Finding the Square Root of 120 by Average Method
The square root of 120 is 10.6.
Finding Square Root of 120 by Factors
There are a few different methods that can be used to find the square root of 120. One method is to factor the number 120 into prime factors.
The prime factors of 120 are 2, 3, and 5. The square root of 120 is 6.
Finding Square root of 120 by long Division Method
120 ÷ 5 = 24
24 ÷ 3 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 1 = 2
Factors and log division method
In mathematics, division is the process of dividing one number by another. The result of this process is a quotient and a remainder. The quotient is the number that tells us how many times the divisor can be subtracted from the dividend to get to the remainder. The remainder is the number that is left over after the division is complete.
The division algorithm is a process that can be used to help us divide two numbers. This algorithm involves four steps:
- Write down the dividend and the divisor, with a line between them.
- Draw a line under the divisor.
- Write down the first number that is less than the divisor, above the line and to the left of the dividend.
- Write down the second number that is less than the divisor, above the line and to the right of the dividend.
Then, we can use the following steps to complete the division:
- Subtract the number that is written to the left of the dividend from the dividend.
- Write the number that is left over, to the left of the divisor.
- Multiply the number that is written to the right of the dividend by the divisor.
- Write the result of this multiplication, above the line.
- Add the numbers that are written above and below the line.
- Write the result of this addition, below the line.
This is the process that is known as long division.
Related links:
Square Root Prime Factorization
Frequently Asked Questions (FAQs) on Square Root of 120
The square root of 120 is approximately 10.95445.
The square root of 120 is found by using a calculator or by applying numerical methods to approximate the value.
The square root of 120 is an irrational number since it cannot be expressed as a fraction of two integers.
You can verify the accuracy of the square root of 120 by squaring the approximate value (10.95445) and checking if it is close to 120. What is the square root of 120?
How is the square root of 120 calculated?
Is the square root of 120 a rational or irrational number?
How can I verify the accuracy of the square root of 120?