The square root of a number is that number which when multiplied by itself gives the given number. It is denoted by the symbol √.
The square root of a number x is that number which when multiplied by itself gives x as the product. We denote the square root of a number x by √x.
For example:
(i) 1² = 1
Therefore, square root of 1 is 1. Symbolically √1 = 1.
(ii) 2² = 4
Therefore, square root of 4 is 2. Symbolically √4 = 2.
(iii) 3² = 9
Therefore, square root of 9 is 3. Symbolically √9 = 3.
(iv) 5 is the square root of 25. Since 5² = 25
Or we can write it as √25 = 5 (Square root of 25 is 5)
(v) ²/₃ is the square root of ⁴/₉. Since 2²/3² = ⁴/₉
Or we can write it as √(⁴/₉) = ²/₃ (Square root of ⁴/₉ is ²/₃)
(vi) 0.2 is the square root of 0.04. Since 0.2² = 0.04
Or we can write it as √0.04 = 0.2 (Square root of 0.04 is 0.2)
In general; if n = m², then m is the square root of n, i.e., m = √n
Then in square root we will learn about; square root of a perfect square by using the prime factorization method and square root of a perfect square by using the long division method.
● 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
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
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