Question

(5-2root6)×(5+2root6)

Answer 1

Answer:

Step-by-step explanation:

(5 - 2√6)(5 +2√6)

= 5² - (2√6)²

= 25 - 24

=1

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Answer 2

ANSWER:

• Value of the above expression is 1.

GIVEN:

• (5-2√6)(5+2√6)

TO FIND:

• Value of the above expression.

FORMULA USED:

• (a+b)(a-b) = a²-b²

SOLUTION:

= (5-2√6)(5+2√6)

= (5)² -(2√6)²

= 25 - 24

= 1

Value of the above expression is 1.

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