Question

problem 13: tell which of these numbers is greater. (use an estimate for the irrational.) after you enter your answer press go. a. √30 b. 5

Explanation:

Step1: Recall square of 5

We know that \(5^2 = 25\).

Step2: Compare with 30

We are looking at \(\sqrt{30}\). Since \(30>25\), taking square roots (for positive numbers, the square root function is increasing), we have \(\sqrt{30}>\sqrt{25}\).

Step3: Simplify \(\sqrt{25}\)

Since \(\sqrt{25} = 5\), we can conclude that \(\sqrt{30}>5\).

Answer:

A. \(\sqrt{30}\)