Mathematics: What is the following product? ( sqrt 12+ sqrt 6)(sqrt 6- sqrt 10)

Slope formula:m = y2 - y1 / x2 - x1Line QR: (2,8) (3,10)m = 10 - 8 / 3 - 2 = 2 / 1 = 2Line ST: (0,6) (-2,2)m = 2 - 6 / -2 - 0 = -4/-2 = 2c. parallel because the slopes are the same...

What is the following product? ( sqrt 12+ sqrt - id1262533957, ayshearouse1203

Ответ:

lexus7493

03.01.2022

Mathematics

Option A.

Step-by-step explanation:

The given expression is

$(\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})$

We need to find the product.

Using distributive property we get

$\sqrt{12}(\sqrt{6}-\sqrt{10})+\sqrt{6}(\sqrt{6}-\sqrt{10})$

$\sqrt{12}(\sqrt{6})+\sqrt{12}(-\sqrt{10})+\sqrt{6}(\sqrt{6})+\sqrt{6}(-\sqrt{10})$

Using the properties of radical expressions we get

$\sqrt{12\cdot 6}-\sqrt{12\cdot 10}+\sqrt{6\cdot 6}-\sqrt{6\cdot 10}$ $[\because \sqrt a\sqrt b=\sqrt{ab}]$

$\sqrt{72}-\sqrt{120}+\sqrt{36}-\sqrt{60}$

On further simplification we get

$6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}$

Therefore, the correct option is A.

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What is the following product? ( sqrt 12+ sqrt 6)(sqrt 6- sqrt 10)

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