Question

what is the value of
(√5+√2)(√5-√2)​

Answer 1

Answer:

3

Step-by-step explanation:

(√5+√2)(√5-√2)

using the identity: (a+b)(a-b)=a²-b²

(√5)²-(√2)²=5-2=3

hope this helps

Answer 2

Answer:

$\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}-\sqrt{2}\right)=3$

Step-by-step explanation:

$\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}-\sqrt{2}\right)$

$\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=\sqrt{5},\:b=\sqrt{2}$

$=\left(\sqrt{5}\right)^2-\left(\sqrt{2}\right)^2$

$\mathrm{Simplify}\:\left(\sqrt{5}\right)^2-\left(\sqrt{2}\right)^2$

$\left(\sqrt{5}\right)^2-\left(\sqrt{2}\right)^2$

$\left(\sqrt{5}\right)^2=5$

$\left(\sqrt{2}\right)^2=2$

$=5-2$

$\mathrm{Subtract\:the\:numbers:}\:5-2=3$

$=3$