Chapter 8: Q. 572 (page 856)

Multiply Complex Numbers
$(5 - \sqrt{- 12}) (- 3 + \sqrt{- 75})$

Short Answer

Expert verified

The Solution is $15 + 31 i \sqrt{3}$

Step by step solution

The Given Information

An expression is $(5 - \sqrt{- 12}) (- 3 + \sqrt{- 75})$

Simplify the terms to complex number

$= \sqrt{- 12} & \sqrt{- 75} = s i m p l f y i n g \sqrt{- 12} = i . \sqrt{12} = i . \sqrt{4} . \sqrt{3} = i . 2 . \sqrt{3} = 2 i \sqrt{3} = s i m p l f y i n g \sqrt{- 75} = i . \sqrt{75} = i . \sqrt{25} . \sqrt{3} = i . 5 . \sqrt{3} = 5 i \sqrt{3}$

Multiplying The terms

$= (5 - 2 i \sqrt{3}) (- 3 + 5 i \sqrt{3}) = - 15 + 25 i \sqrt{3} + 6 i \sqrt{3} - 30 i^{2} = - 15 + 31 i \sqrt{3} - 30 i^{2} = - 15 + 31 i \sqrt{3} + 30 = 15 + 31 i \sqrt{3}$

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Multiply Complex Numbers
$(5 - \sqrt{- 12}) (- 3 + \sqrt{- 75})$

Short Answer

Step by step solution

The Given Information

Simplify the terms to complex number

Multiplying The terms

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Multiply Complex Numbers(5--12)(-3+-75)

Short Answer

Step by step solution

The Given Information

Simplify the terms to complex number

Multiplying The terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Multiply Complex Numbers
$(5 - \sqrt{- 12}) (- 3 + \sqrt{- 75})$