Question

Find twoConsecutive whole numbers for the square root of 46

Answer 1

To find the two consecutive whole numbers for the square root of 46, we need to determine the perfect squares closest to but not greater than 46 and closest to but more than 46, which are 36 and 49, respectively. Hence, the consecutive whole numbers are 6 and 7.

Step-by-step explanation:

The student is asking for two consecutive whole numbers that are the square roots of the number 46. Since the square root of 46 is not a whole number, we need to determine the two whole numbers that it falls between.

First, identify the perfect squares that are closest to 46 but not greater than it. The perfect square closest to and less than 46 is 36 (since 6 x 6 = 36), and the perfect square closest to but more than 46 is 49 (since 7 x 7 = 49). Since 46 is between 36 and 49, the square root of 46 must be between 6 and 7.

Therefore, the two consecutive whole numbers for the square root of 46 are 6 and 7.

Answer 2

6 and 7

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We first need to find the nearest whole number square roots around 46.

The perfect squares closest to 46 are 36 and 49, which are the squares of 6 and 7 respectively.

Since 46 is between 36 and 49, the square root of 46 will be between 6 and 7:

• 36 < 46 < 49
• √36 < √46 < √49
• 6 < √46 < 7

Therefore, the two consecutive whole numbers would be 6 and 7.