Chapter 8: Q. 8.86 (page 794)

Simplify-
(a) $(2 - 3 \sqrt{11}) (4 - \sqrt{11})$
(b) $(\sqrt[3]{x} + 1) (\sqrt[3]{x} + 3)$

Short Answer

Expert verified

The values are-

(a) $41 - 14 \sqrt{11}$

(b) $\sqrt[3]{x^{2}} + 4 \sqrt[3]{x} + 3$

Step by step solution

Step 1. Explanation

(a) We will firstly multiply the terms with each other and then simplify them to get the value.

(b) we will firstly multiply the terms with each other and then simplifying the expression will give us the value.

Step 2. Solving for part (a)

We have $(2 - 3 \sqrt{11}) (4 - \sqrt{11})$ .

Multiplying the terms,

role="math" localid="1644764017391" $= 8 - 2 \sqrt{11} - 12 \sqrt{11} + 3 \cdot 11 = 8 - 2 \sqrt{11} - 12 \sqrt{11} + 33 = 41 - 14 \sqrt{11}$

Thus we get the value as $41 - 14 \sqrt{11}$ .

Step 3. Solving for part (b)

We have $(\sqrt[3]{x} + 1) (\sqrt[3]{x} + 3)$ .

Multiplying the terms,

$= \sqrt[3]{x^{2}} + 3 \sqrt[3]{x} + \sqrt[3]{x} + 3 = \sqrt[3]{x^{2}} + 4 \sqrt[3]{x} + 3$

Thus we get the value as $\sqrt[3]{x^{2}} + 4 \sqrt[3]{x} + 3$ .

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Simplify-
(a) $(2 - 3 \sqrt{11}) (4 - \sqrt{11})$
(b) $(\sqrt[3]{x} + 1) (\sqrt[3]{x} + 3)$

Short Answer

Step by step solution

Step 1. Explanation

Step 2. Solving for part (a)

Step 3. Solving for part (b)

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Simplify-(a) (2-311)(4-11)(b)(x3+1)(x3+3)

Short Answer

Step by step solution

Step 1. Explanation

Step 2. Solving for part (a)

Step 3. Solving for part (b)

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Most popular questions from this chapter

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Simplify-
(a) $(2 - 3 \sqrt{11}) (4 - \sqrt{11})$
(b) $(\sqrt[3]{x} + 1) (\sqrt[3]{x} + 3)$