Question

find the square root of the following 0.3481​

Answer 1

0.59
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Answer 2

Answer:

√3481=59

Step-by-step explanation:

Normally when faced with a large number to find the square root of you would see what prime factors it has.

3481 has no small prime factors, so let's try another approach...

Split it into pairs of digits starting from the right to get:

   34|81

Looking at the most significant pair of digits, what is the square root of 34?

We know 62=36, so it's a little less than 6.

Hence √3481 is a little less than 60.

Let us try 592...

   592=(60−1)2=602−2⋅60+1=3600−120+1=3481

So:

   √3481=59