Rational Exponents Radicals Complex Numbers

Simplify using complex numbers

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Simplify the complex number

Is the sum of a real number and an imaginary number (a number whose square is a real number less than zero), i.e. an expression of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying i² = −1.

• commutative property

• polynomial function 

• complex number 

• Mrs. Moxley is hilarious. 

A pair of complex numbers, both having the same real part, but with imaginary parts of equal magnitude and opposite signs. For example, 3 + 4i and 3 − 4i are complex conjugates.

• binomial expression

• trinomial

• Please keep your pants pulled up over your waist. 

• complex conjugate

A number expressible in the form a/b or x a/b for some fraction a/b. The rational numbers include the integers.

• expression

• rational number

• nth roots 

• Mr. Griffin likes ninjas.

The number that must be multiplied by itself n times to equal a given value. The nth root can be notated with radicals and indices or with rational exponents, i.e. x^1/3 means the cube root of x.

• associative property of multiplication

• commutative property of multiplication

• You shouldn't tell stories to your teacher. 

• nth root 

 A ____________ __________ represents both an integer exponent and an nth root. 

• whole number

• polynomial function

• rational exponent

• complex conjugate

Choose the correct vocabulary word for the definition:

A pair of complex numbers, both having the same real part, but with imaginary parts of equal magnitude and opposite signs. For example, 3 + 4i and 3− 4i are complex

• Complex Number

• Complex Conjugate

• Polynomial Function

• Nth Root

Choose the correct vocabulary word for the definition:

A complex number is the sum of a real number and an imaginary number (a number whose square is a real number less than zero), i.e. an expression of the form a=bi where a and b are real numbers and i is the imaginary unit, satisfying i² = −1.

• Complex Number

• Complex Conjugate

• Polynomial Function

• Nth Root

Choose the correct vocabulary word for the definition:

The number that must be multiplied by itself n times to equal a given value.

The nth root can be notated with radicals and indices or with rational exponents, i.e. x¼ means the fourth root of x.

• Imaginary Number

• Complex Conjugate

• Polynomial Function

• Nth Root