9/4

Question

is close to the square root of what integer

Answer 1

To find the integer whose square root is close to \( \frac{9}{4} \), we first calculate \( \frac{9}{4} \):

\[ \frac{9}{4} = 2.25 \]

Next, we want to find the integer \( x \) such that:

\[ \sqrt{x} \approx 2.25 \]

To find \( x \), we can square \( 2.25 \):

\[ x \approx (2.25)^2 \]

Calculating \( (2.25)^2 \):

\[ (2.25)^2 = 5.0625 \]

The closest integer to \( 5.0625 \) is \( 5 \).

Thus, the integer whose square root is close to \( \frac{9}{4} \) is \( 5 \).