Chapter 11: Q. 8.165 (page 1069)

Multiply: $(4 - \sqrt{- 12}) (3 - \sqrt{- 48})$

Short Answer

Expert verified

The simplified solution is $- 12 - 22 \sqrt{3} i$

Step by step solution

Given information

We are given an equation $(4 - \sqrt{- 12}) (3 - \sqrt{- 48})$

Write the complex number as -b=bi

We get, $(4 - \sqrt{12} i) (3 - \sqrt{48} i)$

Use FOIL

We get, $12 - 4 \sqrt{48} i - 3 \sqrt{12} i + \sqrt{576} i^{2}$

Combine like terms and simplify i2

$12 - 16 \sqrt{3} i - 6 \sqrt{3} i - 24 - 12 - 22 \sqrt{3} i$

Conclusion

The solution of the above equation is $- 12 - 22 \sqrt{3} i$

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Multiply: $(4 - \sqrt{- 12}) (3 - \sqrt{- 48})$

Short Answer

Step by step solution

Given information

Write the complex number as -b=bi

Use FOIL

Combine like terms and simplify i2

Conclusion

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Multiply:(4--12)(3--48)

Short Answer

Step by step solution

Given information

Write the complex number as -b=bi

Use FOIL

Combine like terms and simplify i2

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Discrete Mathematics

Mechanics Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Multiply: $(4 - \sqrt{- 12}) (3 - \sqrt{- 48})$