Square roots of positive numbers

Square roots of positive numbers

         

what is a square of numbers?and square roots?

let us see how.....

if we say,13 × 13 = 169

∴ 169 is the square of 13, and 13 is the square root of 169. 

now.....

what is the difference between Square roots of positive numbers

and negative numbers?

It is customary not to write ‘+’ sign before a positive number. For example, +10 = 10. We shall, henceforth, observe this convention in all discussions.

6 × 6 = 36 ∴ 6 is the square root of 36.

Similarly, (-6) × (-6) = 36       ∴ (-6) too is a square root of 36.

          Thus, 6 and -6 are the two square roots of 36.

          

In the same way, work out in your mind the pairs of numbers of which 4, 49 and 121 are the squares and write statements like the above.

What do we learn by observing the numbers and their square roots in the above examples? we see that –

* Every positive number has two square roots.

* These square roots are opposite numbers of each other.

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