Question

List similarities in dividing radicals with dividing complex numbers.

A. Both involve finding the square root.
B. Both operations require multiplication of conjugates.
C. Both operations result in real numbers.
D. Neither operation is possible.

Answer 1

Dividing radicals and dividing complex numbers have similarities in terms of finding the square root, multiplying conjugates, and resulting in real numbers.

Step-by-step explanation:

A. Both involve finding the square root: In dividing radicals, we need to find the square root of the radicand. Similarly, in dividing complex numbers, we often need to find the square root of a complex number.

B. Both operations require multiplication of conjugates: When dividing radicals, we multiply the numerator and denominator by the conjugate of the denominator to simplify the expression. Likewise, when dividing complex numbers, we multiply the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part.

C. Both operations result in real numbers: When we divide radicals or complex numbers, the result is often a real number.