Question

Value of (2+root3)(2-root3)

Answer 1

There is an identity (a+b)(a-b)=a^2-b^2.

So, (2+root3)(2-root3)=2^2-(root3)^2=4-3=1.

Or, you could simply expand it by multiplying directly.

Answer 2

Concept

The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given

(2 ₊ √3)(2 ₋ √3)

Find

Value of (2 ₊ √3)(2 ₋ √3)

Solution

given, (2 ₊ √3)(2 ₋ √3)

There are two methods to solve this.

Method 1:

we can directly multiply the terms.

(2 ₊ √3)(2 ₋ √3)

= 2(2 ₋ √3) ₊ √3(2 ₋ √3)

= 4 ₋ 2√3 ₊ 2√3 ₋3

= 4 ₋3

= 1

Method 2:

by using the identity method.

(a₊b)(a₋b) = (a² ₋ b²)

(2 ₊ √3)(2 ₋ √3) = [(2)² ₋ (√3)²]

= 4 ₋ 3

= 1

Hence after evaluating the terms we get the value as 1.

#SPJ2