Chapter 8: Q. 8.88 (page 794)

Simplify-
$(6 - 3 \sqrt{8}) (2 \sqrt{6} + \sqrt{8})$

Short Answer

Expert verified

The value is $12 \sqrt{6} + 12 \sqrt{2} - 24 \sqrt{3} - 24$ .

Step by step solution

Step 1. Given and explanation

We have $(6 - 3 \sqrt{8}) (2 \sqrt{6} + \sqrt{8})$ .

We will simply multiply the terms and then simplify by combining the like terms to get the value.

Step 2. Multiplying and simplifying the terms.

We have $(6 - 3 \sqrt{8}) (2 \sqrt{6} + \sqrt{8})$ .

Multiplying the terms,

$= (6 \cdot 2 \sqrt{6}) + 6 \sqrt{8} - (3 \cdot 2 \sqrt{48}) - (3 \cdot 8) = 12 \sqrt{6} + (6 \sqrt{{(2)}^{2} \times 2}) - (6 \sqrt{{(4)}^{2} \times 3}) - 24 = 12 \sqrt{6} + 12 \sqrt{2} - 24 \sqrt{3} - 24$
Thus we get the value as $12 \sqrt{6} + 12 \sqrt{2} - 24 \sqrt{3} - 24$ .

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Simplify-
$(6 - 3 \sqrt{8}) (2 \sqrt{6} + \sqrt{8})$

Short Answer

Step by step solution

Step 1. Given and explanation

Step 2. Multiplying and simplifying the terms.

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Step by step solution

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Simplify-
$(6 - 3 \sqrt{8}) (2 \sqrt{6} + \sqrt{8})$