Question

Find the square root of 6889 by prime factorization​

Answer 1

The square root of 6889 is 83

Step-by-step explanation:

Number = 6889

We are supposed to find the square root of 6889 by prime factorization​

83 | 6889

83 | 83

    | 1

So, $6889 = 83 \times 83$

$\sqrt{6889}=\sqrt{83 \times 83}$

$\sqrt{6889}=83$

Hence the square root of 6889 is 83

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Answer 2

$Resolve \: the \: number \: 6889 \:into \\product \: of \: Prime \: Factors ,\:we \:get$

$6889 = 83 \times 83$

$\sqrt{ 6889 } = \sqrt{ 83 \times 83 }\\= 83$

Therefore.,

$\red { \sqrt{6889} } \green { = 83 }$

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