Question

Using suitable identity, find the value of (10.5)².

Answer 1

Given: Find the value of (10.5)² using a suitable identity.

Step-wise calculation:

We use the identity for the square of a sum:

(a + b)² = a² + 2ab + b² 

Here, (10.5) can be written as (10 + 0.5).

So, (10.5)² = (10 + 0.5)²

(10.5)² = 10² + 2 × 10 × 0.5 + (0.5)²

Calculate each term:

100 + 10 + 0.25 = 110.25