Simplify square root of 143
Problem
Solution
Identify the number under the radical, which is
143 Find the prime factorization of
143 by testing small prime numbers for divisibility.Check for divisibility by
2 3 5 and7 none of which are factors of143 Divide
143 by the next prime number,11 to find that143=11×13 Determine if there are any perfect square factors. Since both
11 and13 are prime and appear only once, there are no perfect square factors other than1 Conclude that the radical cannot be simplified further into a simpler radical form.
Final Answer
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