Chapter 8: Q.526 (page 853)

In the following exercises, multiply
$(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$

Short Answer

Expert verified

Simplifying, $(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11}) = - 439 - 2 \sqrt{77}$

Step by step solution

Step 1. Given information

We have given,

$(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$

Step 2. Concept

Here we will going to use FOIL method,

$(a + b) (c + d) = a c + a d + b c + b d$

and radical rules,

$\sqrt[n]{a^{n}} = a$

$\sqrt[n]{a} \sqrt[n]{b} = \sqrt[n]{a b}$

Step 1. Explanation

We have,

$(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$

Using FOIL method,

$2 \sqrt{7} \cdot 4 \sqrt{7} + 2 \sqrt{7} \cdot 9 \sqrt{11} - 5 \sqrt{11} \cdot 4 \sqrt{7} - 5 \sqrt{11} \cdot 9 \sqrt{11}$

Using product rule,

$56 + 18 \sqrt{77} - 20 \sqrt{77} - 495$

$\Rightarrow - 439 - 2 \sqrt{77}$

Step 4. Conclusion

Hence, multiplying $(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$ we will get, $- 439 - 2 \sqrt{77}$ .

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In the following exercises, multiply
$(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 1. Explanation

Step 4. Conclusion

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Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept

Step 1. Explanation

Step 4. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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In the following exercises, multiply
$(2 \sqrt{7} - 5 \sqrt{11}) (4 \sqrt{7} + 9 \sqrt{11})$