what is the square root of 120

Video What is the square root of 120? Square Root of 120 In this mini-lesson, we will calculate the square root of 120 using long division along with solved examples and interactive questions. The square root of a number is the number multiplied by itself to get the original number. 4 is the square root of 16 because 4 × 4 = 16 and the symbolic square root is written as √ and is an integral part of mathematics. Let’s see what the square root of 120 is.

• Square root of 120: 120 = 10,954
• Square 120: 1202 = 14400

1. What is the square root of 120? 2. Is the square root of 120 Reasonable or Unreasonable? 3. How to find the square root of 120? 4. Important Notes on Square Root of 120 5. Frequently Asked Questions about Square Root of 120 6. Challenging Questions about Square Root of 120

What is the square root of 120?

Square root is the inverse of a square. The square root of a number is the number that is multiplied by itself to get the product. The square root of 120 is represented as √120. The square root of 120 in exponential form is expressed as 1201/2. The square root of 120 rounded to 3 decimal places is 10,954 Read: What is the square root of 120

Is the square root of 120 Reasonable or Unreasonable?

A rational number is a number of the form p/q where:

• p and q are integers
• q is not equal to 0

Read more: What consumers pay for work A number that cannot be expressed as the ratio of two integers is an irrational number. Endless decimals with numbers that repeat after the decimal point are rational numbers. Now let’s consider that the square root of the topqa.info decimal representation is: √120 = 10.9544511501. Do you think the decimal part stops after 10.9544511501? No, it’s never ending so it’s a decimal number that doesn’t end with repeating zeros. The number 10.9544511501 .. is not written as p/q. So √120 is an irrational number.

How to find the square root of 120?

The square root of 120 can be calculated using different methods:

• By simplifying the roots of the numbers are perfect squares.
• By dividing length by perfect and imperfect squares

Simple square root form of square root 120

To simplify the square root of 120, let’s first express 120 as a product of its prime factors. So, The prime factor of 120 is: 2 × 2 × 2 × 3 × 5. To find the square root of any number, we take a number from each pair of similar numbers from its prime factorization and multiply them. 120 = 2 × 2 × 2 × 3 × 5 120 = (2 × 2 × 2 × 3 × 5) = 2 × (2 × 3 × 5) = 2√30 So we have expressed the square root two of 120 in its simplest root form is 2√30. So, √120 = 2√30. The value of the square root of 11 by the long division method involves the following steps:

• Step 1: Starting from the right, we’ll pair the digits by placing a bar above them.
• Step 2: Now, we find a number such that the square of any number gives a product less than or equal to the first pair. Here, the first pair consists of only 1 number, i.e. 1. The square of 1 gives the product of 1. The number is subtracted from the first pair and then the next pair is added as divisor, i.e. 20
• Step 3: Now we take the double of the quotient and put a digit with the divisor along with its position in the quotient, so that the new divisor, when multiplied by the eigenvalues ​​in the quotient, gives a smaller product than the divisor. , then subtract the dividend.
• Step 4: For the newly obtained divisor, we double the quotient and put a digit with the divisor along with its position in the quotient, so that the new divisor when multiplied by the eigenvalue in the quotient gives product is less than the divisor.
• Step 5: The difference obtained in the step above. The double of the quotient is again taken and used as the divisor with the participation of one more digit so that the same digit is mentioned in the quotient, resulting in a smaller product than the new divisor.
• Step 6: The process is repeated in the same way.

Thus, the division is expressed as: Read more: What sound do hippos makeExplore Square Roots using interactive illustrations and examples

• Square root of 25
• Square root of 100
• Square root of 121
• Square root of 225
• Square root of 45

Important note:

• The prime factorization method is used to write the square root of an imperfect square number in its simplest root form. Example: 45 = 3 × 3 × 5 = 32 × 35
• Irrational numbers cannot be expressed as a ratio of two integers. Example: pi, 2
• The square root of 120 in root form is expressed as 2√30

Challenge question:Read more: What does tiger blood taste like

• Can you think of any quadratic equations whose roots are √120?
• Is √-120 a real number?

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