Which number comes closest to the square root of 54 when multiplied by itself?

Which number comes closest to the square root of 54 when multiplied by itself?

• A. 7.0
• B. 7.2
• C. 7.3
• D. 7.4

Answer: (C)

To find which number comes closest to the square root of 54 when multiplied by itself, you can start by understanding what it means to find the square root. The square root of a number is a value that, when multiplied by itself, gives the original number. First, let's calculate the approximate square root of 54. The perfect squares closest to 54 are 49 (which is 7 squared) and 64 (which is 8 squared). Since 54 is between 49 and 64, its square root will be between 7 and 8. To hone in on a more precise estimate, we can consider that \(7.2^2\) is about 51.84, and \(7.3^2\) is about 53.29, both of which are close but still less than 54. When calculating \(7.4^2\), it equals 54.76, which is slightly above 54. Since we are looking for the number whose square is closest to 54 without exceeding it, \(7.3\) results in \(7.3 \times 7.3 = 53.29\), which is the closest approximation to 54 while remaining below it

To find which number comes closest to the square root of 54 when multiplied by itself, you can start by understanding what it means to find the square root. The square root of a number is a value that, when multiplied by itself, gives the original number.

First, let's calculate the approximate square root of 54. The perfect squares closest to 54 are 49 (which is 7 squared) and 64 (which is 8 squared). Since 54 is between 49 and 64, its square root will be between 7 and 8.

To hone in on a more precise estimate, we can consider that (7.2^2) is about 51.84, and (7.3^2) is about 53.29, both of which are close but still less than 54. When calculating (7.4^2), it equals 54.76, which is slightly above 54.

Since we are looking for the number whose square is closest to 54 without exceeding it, (7.3) results in (7.3 \times 7.3 = 53.29), which is the closest approximation to 54 while remaining below it