TBQ - Figure out the pattern — task. Maths CBSE Live product, Class 8 (2025-26).

Take a pair of natural numbers. Calculate the sum of their squares. Can you write twice this sum as a sum of two squares?

Try this with other pairs of numbers. Have you figured out a pattern?

Answer:

Take a pair of natural numbers: 5 and 14

Sum of their squares:

i + i = i

Twice this sum is .

Now, let us write the obtained value as a sum of two squares as follows:

\begin{array}{l} {(5 + 14)}^{2} + {(5 - 14)}^{2} = i + i \\ = i \end{array}

, twice the sum of their squares as a sum of two squares.

Thus, if \(a\) and \(b\) are pair of any natural numbers, then the general pattern for the given information is

2 (a^{2} + b^{2}) = {(i + i)}^{i} i {(i - i)}^{i}

Did you find an error?

10. TBQ - Figure out the pattern