Question

the value of (√5+√2)(√5-√2)is :​

Answer 1

Step-by-step explanation:

(√5+√2)(√5-√2)

=(√5)^2 -(√2)^2

=5-2

=3

please mark as brainliest

Answer 2

Answer:

The value of (√5+√2)(√5-√2) is 3.

Step-by-step explanation:

To find : (√5+√2)(√5-√2)

Concept: a² - b² = (a-b)(a+b)

               √a × √a = (√a)² = a

Solution:

(√5+√2)(√5-√2)

⇒ (√5)² - (√2)²                                                   (a² - b² = (a-b)(a+b))

⇒ 5 - 2                                                               (√a × √a = (√a)² = a)

= 3

The value of (√5+√2)(√5-√2) is 3.

The above question can be solved using a different method as well.

Alternative Solution;

(√5+√2)(√5-√2)

⇒ √5 (√5-√2) +√2(√5-√2)

⇒ (√5)² - √10 + √10 - (√2)²

⇒ 5 - 2              (-√10 and + √10 will get cancelled)

⇒ 3

The value of (√5+√2)(√5-√2) is 3.

Hence, the solution is 3.

#SPJ2