Students can go through AP 8th Class Maths Notes Chapter 6 Squares and Square Roots to understand and remember the concepts easily.
Class 8 Maths Chapter 6 Notes Squares and Square Roots
→ If a natural number m can be expressed as n2, where n is also a natural number, then m is a square number.
→ All square numbers end with 0, 1, 4, 5, 6 or 9 at units place.
→ Square numbers can only have even number of zeros at the end.
→ Square root is the inverse operation of square.
→ There are two integral square roots of a perfect square number.
Positive square root of a number is denoted by the symbol √ .
For example, 32 = 9 gives √9 = 3
→ Square number: Any natural number multiplied by itself gives a square number as a result. Consider ‘6’ a natural number.
When multiplied by itself we get 6 × 6 = 36, then 36 is a square number (or) perfect square.
Consider another natural number 13
then multiply it with itself = 13 × 13 = 169
then 169 is a square number (or) perfect square.
Thus 1, 4, 9, 16, 25 ……………. are examples for perfect squares.
Thus 1, 4, 9,16, 25, 36, 49, 64, 81 are 9 perfect squares below 100.