Question

Simplify the given radical expression: √(213) / √(13).

- A. √(16)
- B. √(16/3)
- C. √(3)
- D. √(16/13)

Answer 1

To simplify the given radical expression √(213) / √(13), multiply the numerator and denominator by the conjugate of the denominator and simplify the resulting expression to √(16/13).

Step-by-step explanation:

To simplify the given radical expression √(213) / √(13), we can combine the two radicals and simplify the expression.

Step 1: Multiply the numerator and denominator by the conjugate of the denominator to eliminate the radicals in the denominator.

Step 2: Simplify the expression by multiplying the numerator and denominator.

Step 3: Simplify the resulting expression.

The simplified form of the expression is √(16/13), which is option D.