# Question: How To Find The Square Root Of A Non Perfect Square Without A Calculator?

## How do you find the square root of a non perfect square?

Finding Square Root of Imperfect Squares

1. Find the two nearest perfect squares roots which are close to n.
2. Divide the given number by one of those numbers.
3. Take the average of the number produced and the root.
4. Check if we square this average, results in original number or not.
5. If it doesn’t then repeat the above steps.

## How do you calculate square roots by hand?

Take the number you wish to find the square root of, and group the digits in pairs starting from the right end. For example, if you want to calculate the square root of 8254129, write it as 8 25 41 29. Then, put a bar over it as when doing long division.

## How do you estimate a non perfect square root to the hundredths place without using a calculator?

Describe how to estimate a non – perfect square root to the hundredths place without using a calculator. pick an estimate of the square root. example, if we find sqrt of 5, if we pick 2. divide the number by the estimate, example, 5/2=2.5.

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## How do you find the square root of 5 without a calculator?

Calculate 5 x 45, write that below 245, subtract, bring down the next pair of digits (in this case the decimal digits 00). 504 x 4 = 2016, so 3 works. Calculate 3 x 503, write that below 2000, subtract, bring down the next digits. 5069 x 9 = 45621, which is less than 49100, so 9 works.

## How do you find a non perfect square between two numbers?

When number of no- perfect squares are asked between two consecutive numbers, It is always 2×smaller number.

## What are all the real square roots of 100?

List of Perfect Squares

NUMBER SQUARE SQUARE ROOT
97 9,409 9.849
98 9,604 9.899
99 9,801 9.950
100 10,000 10.000

## How do you find the square root of 2?

The square root of 2 is the number which when multiplied with itself gives the result as 2. It is generally represented as √ 2 or 2 ½. The numerical value of square root 2 up to 50 decimal places is as follows: √ 2 = 1.41421356237309504880168872420969807856967187537694…

## What is the under root of 1?

Square Root From 1 to 50

Number Square Root Value
1 1
2 1.414
3 1.732
4 2

## How do you calculate square root without a calculator?

Finding square roots of of numbers that aren’t perfect squares without a calculator

1. Estimate – first, get as close as you can by finding two perfect square roots your number is between.
2. Divide – divide your number by one of those square roots.
3. Average – take the average of the result of step 2 and the root.

## How do you find the square root of 85?

The square root of 85 is a non-terminating decimal, i.e., √ 85 = 9.219544.