Questions: 9/4 is close to the square root of what integer? (1 point)

Transcript text: Rational and Irrational Numbers Practice Complete this assessment to review what you've learned. It will not count toward your grade. $\frac{9}{4}$ is close to the square root of what integer? (1 point) $\square$ Check answer Remaining Attempts : 3

Solution

Solution Steps

Step 1: Understand the Problem

We are given the fraction $\frac{9}{4}$ and asked to find the integer whose square root is close to this value. In other words, we need to find an integer $n$ such that: \[ \sqrt{n} \approx \frac{9}{4}. \]

Step 2: Square the Given Fraction

To find the integer $n$, we square $\frac{9}{4}$: \[ \left(\frac{9}{4}\right)^2 = \frac{81}{16}. \]

Step 3: Convert to Decimal Form

Convert $\frac{81}{16}$ to decimal form: \[ \frac{81}{16} = 5.0625. \]

Step 4: Identify the Closest Integer

The closest integer to $5.0625$ is $5$. Therefore, the integer whose square root is close to $\frac{9}{4}$ is $5$.