Question

(√a+√b) (√a-√b) =



formula​

Answer 1

Answer:

a - b

Step-by-step explanation:

(a + b)(a - b) = a^2 - b^2

(root a + root b)(root a - root b) = (root a - root b)^2

= (root a)^2 - (root b)^2

Root and square will cancel

= a - b

Answer 2

Given: $(\sqrt{a} + \sqrt{b})$ $(\sqrt{a} - \sqrt{b} )$

To Find: The value of the given sum

Solution:

$(\sqrt{a} + \sqrt{b})$ $(\sqrt{a} - \sqrt{b} )$

Multiplying and removing the brackets,

= $(\sqrt{a}) ^{2}$ - $\sqrt{a}\sqrt{b}$ + $\sqrt{a}\sqrt{b}$ - $(\sqrt{b}) ^{2}$

+ $\sqrt{a}\sqrt{b}$ and -$\sqrt{a}\sqrt{b}$ gets canceled

= a - b

Answer: a - b

Note

• In the given sum, we need to multiply the variables to remove the parenthesis.

• The positive and negative signs are to be noted while removing the brackets.