What could be the possible one’s digit in square root of 361?
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Answers
361=192 , so √361=19 .
Step-by-step explanation:
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To Find :- What could be the possible one’s digit in square root of 361 ?
Solution :-
concept for unit digit of a square number :-
→ 1² = 1 = unit digit 1 .
→ 2² = 4 = unit digit 4.
→ 3² = 9 = unit digit 9.
→ 4² = 16 = unit digit 6.
→ 5² = 25 = unit digit 5.
→ 6² = 36 = unit digit 6 .
→ 7² = 49 = unit digit 9.
→ 8² = 64 = unit digit 4.
→ 9² = 81 = unit digit 1.
→ 10² = 100 = unit digit 0.
Conclusion :-
- unit digit 1 in last = 1 or 9.
- unit digit 4 in last = 2 or 8.
- unit digit 6 in last = 4 or 6.
- unit digit 9 in last = 3 or 7.
- unit digit 5 in last = 5
- unit digit 0 in last = 0 .
checking :-
→ 361
→ unit digit 1 in last = 1 or 9.
now,
→ 3(61)
upto 3 we can go to square of 1 only .
then
→ √361 = Either 11 or 19 .
check now,
→ 11² = 11 × 11 = 121
→ 19² = 19 × 19 = 361
therefore,
→ √361 = 19 = Unit digit 9 (Ans.)
Hence, the possible one’s digit in square root of 361 is equal to 9 .
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