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Earn +20 ptsQ: How can you proove that root 3 and root 5 are irrational?
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Is the square root of 45 rational?
sqrt 45 = sqrt 5 x sqrt 9 = 3 sqrt 5. Sqrt 5 is irrational so 3 root 5 is also irrational.
Is 3 times the square root of 2 divided by 5 times the square root of 2 an irrational number why or why not?
I would answer no because 3√2 ____ 5√2 Would simplify to 3 divided by 5 and that is not irrational.
Is the difference of root2 and root3 irrational?
Yes, irrational. Let p = root 2 and q = root 3. Then (q - p)2 = 5 - 2root6, which is irrational because it is the sum of an integer (5) and an irrational (2root6), and so q - p (which is root3 - root2) is irrational.
Is the square root of 25 rational or irrational?
They are +5 and -5, which are both rational.
What is square root 75 in simplest form?
The square root of 75 is an irrational number and it is 5 times the square root of 3
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