We have to use four operations (Adding, Subtracting,multiplication, division, square, square root, cube, cube root) out of these operation to make the result an irrational number.

$1. \sqrt{\frac{24}{8}} + 5=\sqrt{3}+5,\\\\2. \sqrt{\frac{24}{8}} - 5=\sqrt{3} -5 \\\\ 3.\sqrt{\frac{24 \times 5}{8}}=\sqrt{15} \\\\ 4. (5 \times 8 \times 24)^\frac{1}{3}$

There are many more examples that you can write.

Keep in mind

1. Sum of Rational and irrational is always irrational.

2. Difference of rational and irrational is always irrational.

As none of the 5,8,24 is a perfect square , nor addition of any two results in a perfect square, so square root of their addition or subtraction or multiplication results in an irrational number.

Similarly ,apart from 8, none of 5,24 is a perfect cube.So if you add or subtract any number from 8 and take their cube root or square root ,results in an irrational number.

3 0

3 years ago

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Multiple choice please answer please

joja [24]

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosA = $\frac{adjacent}{hypotenuse}$ = $\frac{AC}{AB}$ = $\frac{2}{3}$ , thus

A = $cos^{-1}$ ( $\frac{2}{3}$ ) ≈ 48° → A

6 0

3 years ago

If you were to randomly survey 20 people at 50 randomly chosen high schools, would this be a random sample? Why or why not?

prisoha [69]

I'm pretty sure this would be because if I'm correct, the surveyors would not have known where and who they were gonna survey before they went. However, this wouldn't show accurate information because you should survey at least 100 people.

6 0

3 years ago

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