# Readers ask: How To Find The Square Root Of An Irrational Number Without A Calculator?

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

1. Examples.
2. Finding square roots of of numbers that aren’t perfect squares without a calculator.
3. Example: Calculate the square root of 10 ( ) to 2 decimal places.
4. Find the two perfect square numbers it lies between.
5. Divide 10 by 3.
6. Average 3.33 and 3. (
7. Repeat step 2: 10/3.1667 = 3.1579.

## Can you take the square root of an irrational number?

=> Thus, the square root of any irrational number is irrational. Because a an irrational number times a rational number is irrational, we have an irrational number equaling a rational number which is a contradiction.

## 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.

## What are 5 irrational numbers?

What are the five examples of irrational numbers? There are many irrational numbers that cannot be written in simplified form. Some of the examples are: √8, √11, √50, Euler’s Number e = 2.718281, Golden ratio, φ= 1.618034.

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## IS 400 a perfect square?

400 is a perfect square. Because 20 * 20 = 400.

## How do you find the square root of 3 without a calculator?

Value of root 3, √ 3 =1.732 Square Root Formula.

## What is the square of any irrational number?

The square of an irrational number is always rational.

## Is Zero is a rational number?

Answer: Zero is an example of a rational number. Any fraction with non- zero denominators is a rational number. The set of rational numbers include positive, negative numbers, and zero and can be expressed as a fraction. -2 is an example of a negative rational number.

## How do you find the square root of a paper?

To start, find a number whose square is less than or equal to the first pair or first number, and write it above the square root line (2). Square the 2, giving 4, write that underneath the 6, and subtract. Bring down the next pair of digits.