Squares and Square Roots
In this section we will discuss squares and square roots.Square of a number and square numbers
The square of a number is that number raised to the power 2.
Thus, if ‘a’ is a number, then the square of a is written as a ^{2} and is given by a ^{2} = a x a.
That is, the square of a number is obtained by multiplying it by itself.
If a x a = b i.e. a ^{2} = b, then we say that the square of number a is number b or the number b is the square of number a.
For example : 1) 3 ^{2} = 3 x 3= 9, so we say that the square of 3 is 9;
2) (4) ^{2} = 4 x 4 = 16, so we say that the square of 4 is 16;
3) (3/5) ^{2} = (3/5) x(3/5) = 9/25 so we say that the square of (3/5) is 9/25;
Squares of some numbers are given below :
















Squares and Square roots
• Introduction of Squares and Square Roots
• Perfect Squares or not
• Properties of Square Numbers
• Short cut method to find squares
• Introduction of Square Roots
• Properties of Square Roots
• Square root by Prime factorization method
• Square root by long division method
• Square root of rational numbers
• Square root of Decimals
• Square root by estimation method
8th grade math
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