# what is the square root of 62

Square Root of 62 The square root of 62 is a number that, when multiplied by itself, gives the result 62. Square roots are an important part of mathematics that people will use at some point. in life. Without further ado, let’s see how to calculate the value of the square root of 62 and see some math problems that help us understand the topic.**Square root of 62:**62 = 7.87400787… **Square of 62: 622 **= 3844 Read: square root of 62 1. What is square root of 62? 2. Is the square root of 62 Reasonable or Unreasonable? 3. How to find the square root of 62? 4. FAQ about Square root of 62 The square root of n is written as √n. This number when squared or multiplied by itself will give the original number n. The square root of 62 can be written in many ways

- Radical form: 62
- Decimal: 7.874
- Power Form: (62) 1/2

- 62 is a number that is not a perfect square, which means it does not have a natural number as its square root.
- Also, its square root cannot be expressed as a fraction of the form p/q, which tells us that the square root of 62 is an irrational number.

Read more: What is the sign 8 8 There are many ways to find the square root of 62-

- Long Division
- Estimates and approximations

One can learn more about these methods by clicking here

### Long division method

The square root of 62 by the long division method involves the following steps:

**Step 1:**Starting from the right, we’ll match the digits 62 by placing a bar above them. We also concatenate zeros in decimal in pairs of 2s from left to right.**Step 2:**Find a number that, when multiplied by itself, gives a product less than or equal to 62. The number 7 that fits here is 7 squared by 49. Divide 62 by 7 with a quotient of 7, giving a remainder of 13.**Step 3:**Drag a pair of zeros down and fill in next to the rest to generate a dividend of 1300.**Step 4:**Double the divisor by 7 and enter 14 below with a blank digit to the right of it. Guess the largest possible digit (X) to fill in the blank and the quotient that the product of 14X × X produces is less than or equal to 1300. In this case, this will be 8, so divide 1400 by 168 and write the Rest.**Step 5:**Repeat this process to get the decimal places you want.

Read more: What it means to dominate a child **square root of 62 = 7.874 **

### Estimates and approximations

The estimation method gives us an approximate answer and is often inaccurate to more than 1 decimal place. However, it is very easy to do as can be seen below.

**Step 1:**Find a perfect square that is smaller and larger than 62. In this case, 7 and 8 will work because their squares are 49 and 64.**Step 2:**Write as inequality: 7 < 62 < 8 = 49 < 62 < 64**Step 3:**Multiply by 10 and write as square root: 4900 < 6200 < √6400**Step 4:**Getting close to the inequality: 6084 < 6200 < √6241 = 78 < 10√62 < 79 = 7.8 < 62 < 7.9**Step 5:**Taking the average of the upper and lower bounds, we get, (7.8 + 7.9) / 2 = 7.85

Therefore, we can estimate **square root of 62 7.85****Explore Square Roots using interactive illustrations and examples**Read more: CWS Blog | Top Q&A

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- What is the square root of 62 to 6 decimal places (Use long division)?
- Find the square root of the following numbers:

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