# Square Root of 60 | Top Q&A

The square root of 60 The square root of 60 is expressed as √60 in root form and (60) ½ or (60) 0.5 in exponentiation. The square root of 60 rounded to 10 decimal places is 7.7459666924. It is a positive solution of the equation x2 = 60. We can express the square root of 60 in its square root form as 2 √15.

**Square root of 60:**7.74596692414834**Square root of 60 in exponential form:**(60) or (60) 0.5**Square root of 60 in root form:**60 or 2 15

1. What is the square root of 60? 2. Is the square root of 60 Reasonable or Unreasonable? 3. How to find the square root of 60? 4. Frequently Asked Questions about Square Root of 60 5. Important Notes about Square Root of 60 6. Difficult Questions The square root of any number n can be written in the form √n. That is, there exists a number a such that: a × a = n. Now it can also be written as: a2 = n or removing the squares on both sides, we get a = √n. So a is called the square root of n. Read: what is the square root of 60

- Now, if n = 60, then a = √60 is the square root of 60. In its simplest root form, √60 = √4 x 15 = 2√15
- Decimal form of 60 = 7.74

Read more: What are the signs? 30 The square root of 60 is an irrational number with never ending digits. √60 = 7,7459666924148. The square root of 60 cannot be written as p/q, so it is an irrational number.

### Square root of 60 by approximation

- Take two perfectly squared numbers that are both less than 60 and greater than 60.
- 49 = 7 <√60 và √64 = 8> 60
- 7 <√60 <8
- Multiply the inequality by 10.
- 70 < 10 60 < 80
- √4900 < 6000 < √6400
- Getting closer to inequality
- √5929 <√6000 <√6084
- 77 < 10√60 < 78
- Divide both sides by 10.
- 7.7 <√60 <7.8
- Take the average of both the lower and upper bounds
- 60 (7.7 + 7.8) / 2
- 60 7.75

### Square root of 60 by length division method

The long division method helps us to find the exact value of the square root of any number. Let’s see how to find the square root of 60 using the long division method.

**Step 1:**Find a number such that when multiplied by itself, the product is less than 6. 7 × 7 = 49**Step 2:**Take the same number with the quotient as the divisor, 7. multiply the quotient by the divisor and subtract 60 . from the result**Step 3:**Take the same quotient ‘7’ and add the divisor ‘7’.**Step 4:**Apply the decimal after the quotient “7” and reduce the two zeros and put it after 11 so it becomes 1100. We need to find a new divisor 14X such that the digit is put in X (the unit of the new divisor. ours) multiplied by itself will give a number less than 1100, our new dividend. 147 × 7 = 1029. Complete the division.**Step 5:**Take the two zeros back and put it after 71, so it becomes 7100. Take 7 and add it to 147. 147 + 7 = 154. We need to define an X so that when we put it at the end of 154X and multiply the result. with the same number we get a smaller number 7100. 1544 × 4 = 6176. Write the exact number after 7 in the quotient. Complete the division process.**Step 6:**Repeat the process to find the square root of 60. The square root of 60 by two orders of magnitude is obtained by the long division method. is 7.74

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- 60 = 4 × 15 = 2√15
- √60 = + 7.7459666 and 60 = – 7.7459666

- Find the square root of 600 to 3 decimal places using approximation.
- Find the smallest 6-digit perfect square number.
- Chris wants to find the value of 12 in terms of a and b, If the value of √√60 = a and √√5 = b, help him choose the correct option.

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