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Sarthak modi. September 17, at am Reply. Leave a Reply Cancel reply. Chapter Name. Chapter Notes. Linear Equations in One Variable. Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians. Please choose valid name. Please Enter the valid Email. Select Grade 6th 7th 8th 9th 10th 11th 12th 12th Pass Please choose the valid grade. We receieved your request Stay Tuned as we are going to contact you within 1 Hour Close.

Thank you for registering. One of our academic counsellors will contact you within 1 working day. Please check your email for login details. Studying in Grade 6th to 12th? Registration done! Sit and relax as our customer representative will contact you within 1 business day Continue. Such types of numbers are also known as Perfect Squares. Some of the Square Numbers Properties of Square Numbers We can see that the square numbers are ending with 0, 1, 4, 5, 6 or 9 only.

Adding Triangular Numbers If we could arrange the dotted pattern of the numbers in a triangular form then these numbers are called Triangular Numbers. The numbers are 26, 27, 28, 29, 30, 31, 32, 33, 34, Adding Odd Numbers Sum of first n natural odd numbers is n 2.

Any square number must be the sum of consecutive odd numbers starting from 1. A Sum of Consecutive Natural Numbers Every square number is the summation of two consecutive positive natural numbers. Some More Interesting Patterns about Square Numbers Finding the Square of a Number To find the square of any number we needed to divide the number into two parts then we can solve it easily. Solution: Divide the number in two parts. Pythagorean Triplets If the sum of two square numbers is also a square number, then these three numbers form a Pythagorean triplet.

Example Write a Pythagorean triplet having 22 as one its member. Thus, the Pythagorean triplet is 6, 8 and One is positive and other is negative. The square root of could be 10 or Through Repeated Subtraction As we know that every square number is the sum of consecutive odd natural numbers starting from 1, so we can find the square root by doing opposite because root is the inverse of the square.

The number of steps will be the square root of that square number. Example Calculate the square root of 64 by repeated addition.

Prime Factorization In this method, we need to list the prime factors of the given number and then make the pair of two same numbers. Then write one number for each pair and multiply to find the square root. Example Calculate the square root of using prime factorization method. Solution: List the prime factors of Division Method Steps to find the square root by division method Step 1: First we have to start making the pair of digits starting from the right and if there are odd number of digits then the single digit left over at the left will also have bar.

Square Roots of Decimals To find the square root of a decimal number we have to put bars on the primary part of the number in the same manner as we did above. Example Estimate the square root of Solution: We know that, comes between and i.

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