Square root by prime factor method of 22401 and 9604
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Answer:
answer is given for the given problem
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Square root of 9604 by prime factorization
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Rishab143
Rishab143Ace
9604
/ \
2 4802
/ \
2 2401
/ \
7 343
/ \
7 49
/ \
7 7
/ \
7 1
e.i.,
2×2×7×7×7×7 or 9604
= \sqrt{2×2×7×7×7×7} \: or \sqrt{9604} \\ \\ \\ = \sqrt{ {2}^{2} \times {7}^{2} \times {7}^{2} } \\ \\ \\ = 2 \times 7 \times 7 \\ \\ \\ = 98
Answer:
square root of 9604 is 98.
Step-by-step explanation:
Given a number 9604
we have to find the square root of above number by prime factorization method.
The prime factorization of 9604 is
9604=2\times 2\times 7\times 7\times 7\times 7
Square root of 9604 is
\sqrt{9604}=\sqrt{2\times 2\times 7\times 7\times 7\times 7}
\sqrt{9604}=\sqrt{(2\times 2)\times (7\times 7)\times (7\times 7)}
\sqrt{9604}=2\times 7\times 7=98
Hence, square root of 9604 is 98.
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Step-by-step explanation: