By splitting into prime factors find the square root of 194481
Answers
Finding square root
Given. the number is 194481
To find. the square root of 194481 using prime factorization
Solution.
194481
/ \
3 64827
/ \
3 21609
/ \
3 7203
/ \
3 2401
/ \
7 343
/ \
7 49
/ \
7 7
We find: 194481 = 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7
We see that there are two pairs of 3s and 7s in the prime factorization of 194481.
Thus the square root of 194481 is
= 3 × 3 × 7 × 7
= 441
Answer. √194481 = 441.
Step-by-step explanation:
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