Question

1. what is the geometric mean of 34 and 60?

4√510

47

2√510

√95

Explanation:

Step1: Recall geometric mean formula

Geometric mean of two numbers \(a\) and \(b\) is \(\sqrt{ab}\).

Step2: Substitute values

\(a=34\), \(b=60\), so compute \(\sqrt{34 \times 60}\).

Step3: Calculate product inside root

\(34 \times 60 = 2040\).

Step4: Simplify the square root

Factor 2040: \(2040 = 4 \times 510\), so \(\sqrt{4 \times 510} = 2\sqrt{510}\).

Answer:

2√510 (the third option)