Question

Approximate √39 to the nearest whole number showing work

Answer 1

The value of √39 approximated to nearest whole number is 6.

If 2 numbers x and y are such that x^2 = y, then x is called the square root of y and y is called the square of x.

Here, we are given √39

We observe that square of 6 = 6 * 6 = 36

and square of 7 = 7 * 7 = 49

39 lies between 36 and 49

Thus, √39 must lie between 6 and 7.

However, we need to approximate √39 to nearest whole number only.

We see that 39 is much closer to 36 than 49

⇒ √39 must also be closer to 6 than 7

Thus, the value of √39 approximated to nearest whole number is 6.

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