Question

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Which two consecutive whole numbers does StartRoot 39 EndRoot lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49.

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The Third statement is the correct option i.e the value of$\sqrt{39}$ lies between 6 and 7.

• The square root of a number is defined as the value of the number when multiplied by itself gives the same number.

Example: Consider a number 7, Multiply the number with itself i.e, 7 x 7 = 49. The square root of 49 is 7.

It is also possible that -7 x -7 also results in 49, Therefore the value of the square root of 49 is +7 and -7.

• The number inside the square root can never be negative.

• The value of the square root of an odd perfect square is also an odd number, Value of the square root of even perfect square results in an even number.

• 6 can be written in square root form as$\sqrt{36}$.

• 7 can be written in square root form as$\sqrt{49}$.

• The value$\sqrt{39}$ is greater than the square root form of 6 and is less than the square root form of 7. Hence, it can be written as,
• $\sqrt{36} <\sqrt{39} <\sqrt{49}$  

Therefore, the value of two consecutive numbers where$\sqrt{39}$ lie between them are 6 and 7.

Hence, the third statement is the correct answer.