Question

Find the square root of 3481 by finding their unit and ten digit

Answer 1

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

6

2

=

36

, so it's a little less than

6

.

Hence

√

3481

is a little less than

60

.

Let us try

59

2

...

59

2

=

(

60

−

1

)

2

=

60

2

−

2

⋅

60

+

1

=

3600

−

120

+

1

=

3481

So:

√

3481

=

59