Find Prime Factorization: Find the prime factorization of 5885 to simplify the square root.5885=5×1177But 1177 isn't a prime number, so we need to factor it further.1177=13×91And 91 is also not prime, so keep going.91=7×13Now we have all prime factors.5885=5×13×7×13
Group Prime Factors: Group the prime factors into pairs to simplify the square root.5885=5×13×7×13We have a pair of 13s, so we can take one 13 out of the square root.5885=13×5×7
Multiply Remaining Numbers: Multiply the remaining numbers under the square root. 5×7=35 So now we have: 5885=13×35
Write Final Simplified Form: Write the final simplified form of the square root. 5885=13×35
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