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Simplifying Radical Expressions

label Algebra
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schedule 3 Hours
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The square root of 24

Apr 14th, 2015

±√24 = ±√ (2*2*2*3) = ±√ (2*3*2²)



To check it we can also calculate through calculator the answer will be same in both cases


Apr 14th, 2015

Can you explain it better please?

Apr 14th, 2015

sorry i was away from computer. here is more details on the question.

let's list the factors of 24 

1, 2, 3, 4, 6, 8, 12, 24 

Notice how 4 is the largest perfect square, so lets factor 24 into 4*6 

sqrt%284%2A6%29 Factor 24 into 4*6

sqrt%284%29%2Asqrt%286%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

2%2Asqrt%286%29 Take the square root of the perfect square 4 to get 2 

So the expression sqrt%2824%29 simplifies to 2%2Asqrt%286%29 

Apr 15th, 2015

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