Question

Simplify (2 + √7)(3 + √5)

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The value of $(2+\sqrt{7} )(3+\sqrt{5} )$ is $6+2\sqrt{5} +3\sqrt{7}+\sqrt{35}$.

Step-by-step explanation:

Given:

$(2+\sqrt{7} )(3+\sqrt{5} )$.

To Find:

The value of $(2+\sqrt{7} )(3+\sqrt{5} )$ .

Solution:

Applying  distributive law.

$(2+\sqrt{7} )(3+\sqrt{5} )$

$=2(3+\sqrt{5} )+\sqrt{7} (3+\sqrt{5})$

$=6+2\sqrt{5} +3\sqrt{7}+\sqrt{5\times7}$

$=6+2\sqrt{5} +3\sqrt{7}+\sqrt{35}$

Thus, the value of $(2+\sqrt{7} )(3+\sqrt{5} )$ is $6+2\sqrt{5} +3\sqrt{7}+\sqrt{35}$.

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