Question

The value of (5+√11)(5-√11)​

Answer 1

Answer:

14

Step-by-step explanation:

we use identity in this

(a+b)(a-b) = a² - b²

so,

(5+√11)(5-√11) = 5²-(√11)²

= 25-11

= 14

Answer 2

Solution!!

(5 + √11)(5 - √11)

To solve such questions, one needs to memorize few algebraic identities. Now, here's an identity to solve this question: (a + b)(a - b) = a² - b².

There are two variables in the identity which are a and b. Similarly, there are two numbers in the constant which are 5 and √11. So, comparing the question with the identity, we can solve the question.

(a + b)(a - b) = a² - b²

a = 5

b = √11

Substitute the values.

(5 + √11)(5 - √11) = (5)² - (√11)²

= 25 - 11

= 14

Hence, we can conclude that (5 + √11)(5 - √11) = 14.

Some more identities:-

→ (a + b)² = a² + b² + 2ab

→ (a - b)² = a² + b² - 2ab

→ (a + b)³ = a³ + b³ + 3ab(a + b)

→ (a - b)³ = a³ - b³ - 3ab(a - b)