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