# SOLUTION: Write each of the following square roots in the form a&#8730;b, where a and b are integers and b has the least value possible. For example, &#8730;180=6&#8730;5. 1. &#8730;360

Algebra ->  Algebra  -> Real-numbers -> SOLUTION: Write each of the following square roots in the form a&#8730;b, where a and b are integers and b has the least value possible. For example, &#8730;180=6&#8730;5. 1. &#8730;360       Log On

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 Click here to see ALL problems on real-numbers Question 238194: Write each of the following square roots in the form a√b, where a and b are integers and b has the least value possible. For example, √180=6√5. 1. √360 2. √40 3. √240 Please, please help! Thank you.Answer by solver91311(16872)   (Show Source): You can put this solution on YOUR website! The process needed is to complete the prime factorization of the radicand. 360, even so divisible by 2 180, even so divisible by 2 90, even so divisible by 2 45, not even, but digits sum to 9 which is divisible by 3, so is divisible by 3 15, digits sum to 6, so divisible by 3 5, prime. Prime factors are 2, 2, 2, 3, 3, 5. Take out one pair of 2s and one pair of 3s leaving a 2 and a 5. 2 times 3 is 6 and 2 times 5 is 10 so: John