Question

find the square root of 0.009 by estimation ​

Answer 1

Answer:

√0.009 ≈ 0.09487

As you can see, 0.09487 is greater than 0.009.

Answer 2

Answer:

√0.009 ≈ 0.09487

As you can see, 0.09487 is greater than 0.009.

Step-by-step explanation:

Here we will calculate the square root of 0.009 (√.009) and explain why the square root of 0.009 is greater than 0.009.

0.009 can be divided into two parts. The number before and the number after the decimal point. The number before the decimal point is the whole number, and the number after the decimal point is the decimal part:

0 = Whole Number

009 = Decimal Part

A number (x) where the whole number is not 0, is greater than the square root of the number (x):

x > √x

This makes sense because √x times √x equals x. However, this does not hold true if the whole number is 0. In that case, the opposite is true.

OK. First things first. Below is the answer to the square root of 0.009.

√0.009 ≈ 0.0948683298050514

√0.009 ≈ 0.09487

As you can see, 0.09487 is greater than 0.009. Thus, two larger numbers multied together equals a smaller number!