Asked by Paula
True or False and please explain so that I can understand.
1. The rationalized form of 125 over the square root of 14 involves no radicals.
2. The radical square root of 4 cannot be used to rationalize the denominator of any radical number.
1. The rationalized form of 125 over the square root of 14 involves no radicals.
2. The radical square root of 4 cannot be used to rationalize the denominator of any radical number.
Answers
Answered by
Reiny
1.
125/√14
= 125/√14 * √14/√14
= 125√14/14 , mmmhhh?
2.
True for √(any perfect square)
If I multiply something by √4/√4 or 2/2
I would simply be doubling the denominator (and the numerator)
So if the denominator contained a radical, doubling it does not make it real
( if √a is irrational, then 2√a is also irrational)
If the denominator had been √4 to begin with, then it would have been a real number anyway , and there would not have been any reason to rationalize it.
125/√14
= 125/√14 * √14/√14
= 125√14/14 , mmmhhh?
2.
True for √(any perfect square)
If I multiply something by √4/√4 or 2/2
I would simply be doubling the denominator (and the numerator)
So if the denominator contained a radical, doubling it does not make it real
( if √a is irrational, then 2√a is also irrational)
If the denominator had been √4 to begin with, then it would have been a real number anyway , and there would not have been any reason to rationalize it.
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