Question

On simplifying (5 + √2)(3 +√5) we get..

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$15 + 3\sqrt{2} +5\sqrt{5} + \sqrt{10}$ is the required value of $(5 + \sqrt{2} )(3 + \sqrt{5} )$.

Step-by-step explanation:

Explanation:

Given in the question that, $(5 + \sqrt{2} )(3 + \sqrt{5} )$.

So, $(5 + \sqrt{2} )(3 + \sqrt{5} )$ can be written as,

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

Now we open the brackets,

⇒15 + $5\sqrt{5}$ + $3\sqrt{2}$ + $\sqrt{10}$

⇒$15 + 3\sqrt{2} +5\sqrt{5} + \sqrt{10}$

So, after simplification we get  $15 + 3\sqrt{2} +5\sqrt{5} + \sqrt{10}$  as a result.

Final answer:

Hence, $15 + 3\sqrt{2} +5\sqrt{5} + \sqrt{10}$ is our required value.

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