Question

Simplify the following expressions-
(a) (5 + √7)(2 + √5)
(b) (3 + √3 )(3 -- √3)​

Answer 1

Step-by-step explanation:

a) (5+√7)(2+√5)

=10+2√7+5√5+√35

b) (3+√3)(3-√3)

=(3^2)-(√3^2)

=9-3

=6

Answer 2

Question :

Simplify the following expressions-

(a) (5 + √7)(2 + √5)

(b) (3 + √3 )(3 – √3)

Solution :

a) (5 + √7)(2 + √5)

→ 5(2 + √5) + √7(2 + √5)

→ 10 + 5√5 + 2√7 + √35

• So the answer is 10 + 5√5 + 2√7 + √35

b) (3 + √3 )(3 – √3)

In this case we need to apply a² - b² formula

a² - b² = (a - b)(a + b)

→ (3)² – (√3)²

→ 9 – 3

→ 6

• So the answer is 6