Mathematics, 21.01.2020 09:31 yurlgurllmay

Using the numbers 5, 8, and 24, create a problem using no more than four operations (adding, subtracting, multiplication, division, square, square root, cube, cube root) where the solution will be an irrational number. explain why the result of your operations is an irrational number

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Answer from: SenpaiTaii

The given three numbers are 5,8,24.

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.

Answer from: madisonsessums8

The sum of rational and irrational numbers is irrational number. If we add, subtract, divide the rational and irrational numbers the result will be an irrational number.

Further explanation:

Given:

The numbers are , and 24.

Explanation:

Rational numbers are those numbers than can be written as a fraction. The decimal expansion of the rational number is terminating.

${\text{Fraction}} = \dfrac{p}{q}$

Here, and are the integers. is numerator of the fraction and is denominator of the fraction.

Irrational numbers are those numbers that cannot be written in fraction. The decimal expansion of the irrational numbers is non-terminating or recurring.

The sum of rational and irrational numbers is irrational number. If we add, subtract, divide the rational and irrational numbers the result will be an irrational number.

1. $8 \times \sqrt5 + 24$

Here, 8 is a rational number, $\sqrt 5$ is an irrational number and 24 is a rational number.

The result is the irrational number.

2. $\sqrt {\dfrac{8}{5}}- \sqrt {24}$

The result will be an irrational number as $\sqrt {\dfrac{8}{5}}$ is an irrational number. So the sum of $\sqrt {\dfrac{8}{5}}$ and $\sqrt {24}$ will be irrational.

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System

Keywords: numbers, 5, 8, 24, irrational numbers, rational numbers, adding, subtracting, multiplication, division, square, square root, cube, cube root, operations, solution, base ten system, place value, decimal expansion, natural numbers, real numbers.

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

Answer from: Quest

the 3rd on is correct

step-by-step explanation: