Question

Is √0.4 = 0.2 if not give reason in support of your answer

Answer 1

Step-by-step explanation:

What is the square root of 0.4?

0.4 = 4/10

the square root of 4/10 is √(4/10) = √4/ √10 = 2 / √10 or more properly 2√10 / 10.

The square root of ten used to pose a significant problem as it contains the √2, which if you are up on your math history, got a man killed in Pythagoras’ day, simply for suggesting that such an answer existed.

But, to keep things kosher, the √10 = √2*√5… both of which provide for irrational results (meaning they cannot be written as a ratio of integers, and they continue indefinitely).

So, the best answer, or most precise answer is 0.4 = 2√10 / 10.

But if you want an approximate answer: expand the √2 and √5 product:

(1.41421)*(2.23607) = 3.16228 = √10 and so 2√10/10 = 2*3.16228 / 10 = 6.32456/10 =0.632456.

This is the square root of 0.4.

Answer 2

No ... √0.4 ≠ 0.2

0.4 is not equal to 0.2

√0.4 is 0.6324555...