Math

QuestionWhich number is closest to 77? A. 51\sqrt{51} B. 46\sqrt{46} C. 50\sqrt{50} D. 47\sqrt{47}

Studdy Solution

STEP 1

Assumptions1. We are looking for the square root value closest to7. . The options given are 51\sqrt{51}, 46\sqrt{46}, 50\sqrt{50}, and 47\sqrt{47}.

STEP 2

We need to calculate the square root of each number to determine which is closest to7. Let's start with 51\sqrt{51}.
51\sqrt{51}

STEP 3

Calculate the square root of51.
517.14\sqrt{51} \approx7.14

STEP 4

Next, calculate the square root of46.
46\sqrt{46}

STEP 5

Calculate the square root of46.
46.78\sqrt{46} \approx.78

STEP 6

Next, calculate the square root of50.
50\sqrt{50}

STEP 7

Calculate the square root of50.
507.07\sqrt{50} \approx7.07

STEP 8

Finally, calculate the square root of47.
47\sqrt{47}

STEP 9

Calculate the square root of47.
476.86\sqrt{47} \approx6.86

STEP 10

Now that we have all the square root values, we can compare them to7 to see which is closest. The values are7.14,6.78,7.07, and6.86.

STEP 11

Compare each value to7 and find the smallest difference. The value with the smallest difference is the one closest to7.

STEP 12

The square root of50 is7.07, which is the closest to7.
So, the number closest to7 is 50\sqrt{50}.

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