Question

simplify (root5 - root 2)(root5 + root2)

Answer 1

Your answer is in the Attachment.

Hope it help
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Answer 2

Answer:

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

Step-by-step explanation:

Given : Expression (root5 - root 2)(root5 + root2)

To find : Simplify the expression?

Solution :

Step 1 - Write the expression in number form,

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

Step 2 - Applying identity, $(a+b)(a-b)=a^2-b^2$

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

Step 3 - Solve,

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

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