Question

square root of 3.6 % of 40 is equal to

Answer 1

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Firstly, find 3.6℅ of 40, that is 1.44

40 × 3.6 ÷ 100
144 ÷ 100
1.44

Then, we have to find the square root of 1.44
That is 1.2

By prime factorisation method

$\sqrt{1.44 } = 1.2$
Since decimals are more difficult than whole numbers, lets move the decimal two places to the right so the number we will be using is 144.

Normally when you try to find the square root of a number you find the two perfect squares that 144 is in between. Let's begin there.

10 x 10 = 100 We can get closer to 144.
11 x 11 = 121 Closer, but not over yet.
12 x 12 = 144!
Wow, it came out exactly to be 12.

We need to make sure both the numbers have the same number of digits in the same place values. 144 and 120 - that's three digits each.

When we started, 144 was 1.44. We just moved the decimal two places to the right, so now we have to move it back two places to the left: 1.44.

Now do the same with 120: 1.20

The square root of 1.44 is 1.20, also written as 1.2.



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Answer 2

Answer:

square root of 3.6 by using prime factorisation method