Subscribe to our YouTube channel for the latest videos, updates, and tips.


Square Root of Numbers that are Not Perfect Squares


Square root of numbers that are not perfect squares or to find the value of square root correct up to certain places of decimal are:

If we have to find the square root of a number up to ‘n’ places of decimals, the number of digits in the decimal part must be 2n. If they are less than 2n, then affix suitable number of zeros to the extreme right of the decimal part. 

Find the square root of decimal number using long division method. 

But if we have to find the square root of number correct up to ‘n’ places of decimal, then find the square root of number up to (n + 1) places of decimal. 

If the digit at the (n + 1) decimal place is equal to 5 or greater than 5, then the digit at ‘n’ place increases by 1. 

If the digit at (n + 1) decimal place is less than 5, then the digit at ‘n’ place remains the same and deletes the digit at (n + 1) place. 

This is how we find the square root correct up to n decimal places. 

Examples on square root of numbers that are not perfect squares are given below:

1. Evaluate √2 correct up to two places of decimal.

Solution:


Using the division method, we may find the value of √2;











Therefore, √2 = 1.414         √2 = 1.41 (correct tip to 2 places of decimal) 



2. Evaluate √3 correct up to 3 places of decimal.


Solution:


Using the division method, we may find the value of √3;









Therefore, √3 = 1.7324         √3 = 1.732 (correct tip to 3 places of decimal)


3. Evaluate √0.8 correct up to two places of decimal.

Solution:


Using the division method, we may find the value of √0.8 as shown below.








Therefore, √0.08 = 0.894         √0.8 = 0.89 (correct tip to 2 places of decimal)


 Square Root

Square Root

Square Root of a Perfect Square by using the Prime Factorization Method

Square Root of a Perfect Square by Using the Long Division Method

Square Root of Numbers in the Decimal Form

Square Root of Number in the Fraction Form

Square Root of Numbers that are Not Perfect Squares

Table of Square Roots

Practice Test on Square and Square Roots


● Square Root- Worksheets

Worksheet on Square Root using Prime Factorization Method

Worksheet on Square Root using Long Division Method

Worksheet on Square Root of Numbers in Decimal and Fraction Form











8th Grade Math Practice

From Square Root of Numbers that are Not Perfect Squares to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Simple Interest | Word problem on Simple Interest | Free

    Jun 19, 25 01:53 AM

    Worksheet on Simple Interest 2
    In worksheet on simple interest we will get different types of question on calculating the simple interest, the principal amount, the rate of interest and the word problems on simple interest.

    Read More

  2. Terms Related to Simple Interest | Simple Interest Formula | Principal

    Jun 19, 25 12:20 AM

    Terms Related to Simple Interest
    In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim…

    Read More

  3. Introduction to Simple Interest | Definition | Formula | Examples

    Jun 18, 25 01:50 AM

    Simple Interest
    In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL.

    Read More

  4. 5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans

    Jun 18, 25 01:33 AM

    5th Grade Profit and Loss Percentage Worksheet
    In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri…

    Read More

  5. Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math

    Jun 18, 25 01:29 AM

    Worksheet on Profit and Loss
    In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework.

    Read More