Question

Simply (5+root 3)(5-root 3)

Answer 1

Answer:

(5+root3)(5-root3)

5 (5-root3)+root3 (5-root3)

25-5root3+5root3-3

now -5root3 and 5root3 will be cancelled and then we will subtract 25-3

we will get 22

ANS=> 22

Answer 2

ANSWER:

• Value of above expression is 22.

GIVEN:

• (5+√3)(5-√3)

TO FIND:

• Value of above expression.

SOLUTION:

= (5+√3)(5-√3)

= (5)²-(√3)²

= 25-3

= 22

Value of above expression is 22.

Formula used:

• (a+b)(a-b) = a²-b²

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab