Simplify Radicals and Imaginary Numbers Review

Front

What is the value of i^129?

Back

i

Front

Simplify: 16√5 - 9√2

Back

62

Front

Which expression has a real number solution? (8i^2)(7i^5) or (6i)^4?

Back

(6i)^4

Front

Multiply: (4 – 3i)(-7 – 2i)

Back

-34 + 13i

Front

Simplify: √12

Back

(4√3)/3

Front

What is the definition of an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit i, where i = √(-1).

Front

What is the value of i^2?

Back

-1

Front

How do you simplify √(a^2)?

Back

√(a^2) = |a| (the absolute value of a).

Front

What is the product of two imaginary numbers, (ai)(bi)?

Back

(ai)(bi) = -ab (where a and b are real numbers).

Front

What is the result of (3i)(4i)?

Back

-12 (since i^2 = -1).