# what is the square root of 26

Square Root of 26 The square root of 26 is a number that, when multiplied by itself, gives the number 26. Without further ado, let’s see how to calculate the value of the square root of 26 and see Some math helps us to understand this. topic.

**Square root of 26:**26 = 5.09901951…**Square 26: 262**= 676

1. What is the square root of 26? 2. Is the square root of 26 Reasonable or Unreasonable? 3. How to find the square root of 26? 4. FAQ about Square Root of 26

- Radical form: 26
- Decimal: 5.09902
- Exponential form: (26) 1/2

- Long division method
- Estimates and approximations

One can learn more about these methods by clicking here Read: what is the square root of 26

### Long division method

Read more: What dog fleas look like to the human eye The square root of 26 by the long division method involves the following steps:

**Step 1:**Starting from the right, we will pair the 26 digits 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 26. A 5 that fits here is 5 squared to give us 25. Dividing 26 by 5 with a quotient of 5, we get a remainder of 1.**Step 3:**Drag a pair of zeros down and fill next to the number 1 to generate 100 dividends.**Step 4:**Double the divisor by 5 and enter 10 below with a blank digit to the right. Guess the largest possible digit (X) to fill in the blank and the quotient where the product of 16X and X produces a value less than or equal to 100. This will be 0. Divide and write the remainder.**Step 5:**Repeat this process to get the decimal places you want.

So, **square root of 26 = 5.09 **

### Estimates and approximations

Read more: What do you do with me 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 26. In this case, 4 and 6 will work because their squares are 16 and 36.**Step 2:**Write as inequality: 4 < 26 < 6 = 16 < 26 < 36**Step 3:**Multiply by 10 and write as square root: 1600 < 2600 < √3600**Step 4:**Getting close to the inequality: 2500 < 2600 < √2601 = 50 < 10√26 < 51 = 5 < 26 < 5.1**Step 5:**Taking the average of the upper and lower bounds, we get, (5 + 5.1) / 2 = 5.05

Therefore, we can estimate **square root of 26 5.05****Explore Square Roots using interactive illustrations and examples**Read more: 48 inches in feet

- Square root of 27
- Square root of 17
- Square root of 28
- Square root of 16
- Square root of 36

- What is the square root of 26 to 10 decimal places (Using long division)?
- Find the square root of the following numbers:

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