Identify Prime Factors: Identify the prime factors of 5885. 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 we keep factoring.91=7×13Now we have all prime factors.5885=5×13×7×13
Group Prime Factors: Group the prime factors into pairs for square roots.We have a pair of 13s.So, we can take 13 outside the square root.25885=2×13×5×7
Simplify Expression: Simplify the expression by multiplying the numbers outside the square root. 2×13=26So, 25885=26×35
Final Simplified Form: There are no more pairs of prime factors to simplify the square root. So, the final simplified form is: 26×35
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