Question

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Answer 1

Ok so 0.22 repeating is 2/9 in fraction form.

Answer 2

what are the prime factors of 112? what is the highest perfect square

Answer 3

If it was 0.22 the fraction would be 11/50, but it is 0.22 "repeating" so it is 2/9. The trick is that whenever a number repeats its tenth place it is that digit over 9.

Answer 4

sorry, continue with anthonyym

Answer 5

@anthonyym sorry, please continue

Answer 6

Yes, so to simplify sqrt(112), we can take perfect squares out of the square root. 112 is 2^4 * 7, which is also 4^2 * 7. 4^2 is a perfect square, so we take it out of the radical and it becomes \[4\sqrt{7}\].

Answer 7

We can "take it out" because it's actually \[\sqrt{4^2*7}=\sqrt{4^2}*\sqrt{7}=4\sqrt{7}\]

Answer 8

No, you multiply them because the question says "times"

Answer 9

You can multiply them across like fractions, numerator times numerator and denominator times denominator. \[\frac{ 2 }{ 9 }*\frac{ 4\sqrt{7} }{ 1 }\].

Answer 10

Correct

Answer 11

Yes, because you can write it as a fraction

Answer 12

Oops I may be wrong because sqrt7 is not rational

Answer 13

Yeah, so even if you multiply it by a rational number, the whole thing will still be irrational because there's an irrational number.

Answer 14

It's irrational. Having anything irrational multiplied to it makes the whole answer irrational

Answer 15

No problem!