Question

the value of (2+root 3)(2-root 3) is

Answer 1

Concept:

The following formulas are used

(a + b)(a - b) = a² - b²

(√x)² = x

Given:

The given expression is (2 + √3)(2 - √3).

Find:

The value of the given expression.

Solution:

Using the formula (a + b)(a - b) = a² - b² in the given expression

(2 + √3)(2 - √3) = (2)² - (√3)²

Now, applying (√x)² = x in the above equation

(2 + √3)(2 - √3) = 4 - 3

(2 + √3)(2 - √3) = 1

Hence, the value of the given expression (2 + √3)(2 - √3) is 1.

#SPJ2