Page 5 - 7-Math-5 SQUARE ROOT OF POSITIVE NUMBER
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Notice that the squares of all even numbers are even numbers.
• The square of an odd number is odd
Now we find the square of some odd numbers.
12 = 1 x 1 = 1 32 = 3 x 3 = 9
52 = 5 x 5 = 25 72 = 7 x 7 = 49
92 = 9 x 9 =81 112 = 11 x 11 = 121
Hence, the squares of all odd numbers are also odd numbers.
Example 2: Without solving, separate the perfect squares of even
numbers and odd numbers
(i) 3481 (ii) 2704 (iii) 49284 (iv) 12321
Solution:
(i) 3481
The square of an odd number is also odd.
Q 3481 is the square of an odd number.
(ii) 2704
The square of an even number is also even.
Q 2704 is the square of an even number.
(iii) 49284
The square of an even number is also even.
Q 49284 is the square of an even number.
(iv) 12321
The square of an odd number is also odd.
Q 12321 is the square of an odd number.
• The square of a proper fraction is less than itself
To square a fraction, we multiply the numerator by itself and do the
same for the denominator.
Now let us compare the fraction with its square by using the version: 1.1
method of cross multiplication.
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