Question

A teacher wrote the following statements comparing square root of 6 and square root of 7 space end root. I. The value of square root of 6 is between the whole numbers 5 and 7, whereas the value of square root of 7 is between the whole numbers 6 and 8. II. The value of square root of 6 is between 2.43 and 2.45, whereas the value of square root of 7 is between 2.63 and 2.65.

Answer 1

II. The value of square root of 6 is between 2.43 and 2.45, whereas the value of square root of 7 is between 2.63 and 2.65.

Explanation:

A square root is an operation which asks what times itself will give theis number. Some numbers will have whole number square roots but many do not. The numbers which do are called perfect squares like 1, 4, 9, 16, 25, 36, etc.... You can approximate other square roots by comparing them to the nearest perfect square.

The √6 and √7 is between the √4 and the √9 since these are the nearest perfect squares. The √4 = 2 and √9 = 3. This means the √6 and √7 is between 2 and 3. Statement I is not true since these values are too large. Statement II is true.