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harkovskaia [24]
2 years ago
14

Simplify each expression, and classify the result as rational or irrational. HELP

Mathematics
1 answer:
SOVA2 [1]2 years ago
6 0

Expressions 2\sqrt{5}-3\sqrt{5},\frac{\sqrt{42} }{\sqrt{68} } and \sqrt{7}\pi -\sqrt{14} \pi   are irrational.

Expressions  \frac{5\sqrt{3}-\sqrt{3}  }{2\sqrt{3} } and \frac{\sqrt{64} }{32}  are rational.

Rational and irrational expression :

The given expression are,

  • 2\sqrt{5} -3\sqrt{5} =\sqrt{5}(2-3)=-\sqrt{5}

          Which is irrational.

  • \frac{\sqrt{42} }{\sqrt{68} } =\frac{\sqrt{42} }{2\sqrt{17} }        

          Which is irrational.

  • \sqrt{5}(4\sqrt{5}-3\sqrt{5}=5

        Which is rational.

  • \frac{5\sqrt{3}-\sqrt{3}  }{2\sqrt{3} }=2

        Which is rational.

  • \frac{\sqrt{64} }{32} =\frac{8}{32}=\frac{1}{7}        

        Which is rational.

  • \sqrt{7} \pi -\sqrt{14}\pi =\pi (\sqrt{7}-\sqrt{14})

         Which is irrational.

What is Rational expressions ?

  • Rational expressions represent the relationship between two polynomials. It means that the numerator and denominator are both polynomials.
  • It is an algebraic expression ratio with an unknown variable, similar to a fraction. We can, however, simplify this type of expression with the aid of a calculator.
  • You've probably heard of rational numbers, which are written in the form p/q. In contrast, rational expressions are the ratio of two polynomials.
  • To find the root or zero of a polynomial expression, we must first make it equal to zero. To find the zeros of rational functions or expressions, however, only the numerator must be set to zero after the expression has been reduced to its simplest terms.

Learn more about the rational function here:

brainly.com/question/1851758

#SPJ1

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Answer:

2x=6x so, answer is 6.

Step-by-step explanation:

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How many square tiles of side 10cm each will be needed to tile a floor which is 300cm long and 150cm wide?
S_A_V [24]

Step 1

Find the area of one tile

we know that

the area of a square is

A=b^{2}

where b is the length side of the square

In this problem

b=10\ cm

Substitute

A=10^{2}=100\ cm^{2}

Step 2

Find the area of the floor

The area of a rectangle is equal to

A=LW

where

L is the length of the rectangle

h is the width of the rectangle

In this problem

L=300\ cm

W=150\ cm

Substitute

A=300*150=45,000\ cm^{2}

Step 3

Find the number of tiles needed

by proportion

\frac{1}{100} \frac{tile}{\ cm^{2}} =\frac{x}{45,000} \frac{tile}{\ cm^{2}} \\ \\x=45,000/100 \\ \\x=450 \ tiles

therefore

<u>the answer is</u>

450 \ tiles


5 0
3 years ago
The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the _____.
riadik2000 [5.3K]

The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the power

<h3>How to complete statement?</h3>

From the question, we have the following highlights

  • Null hypothesis is false
  • Null hypothesis is correctly rejected

The statement that represents the probability of the above highlights is power

Hence, the statement that completes the blank is power

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6 0
2 years ago
Trisha bought a 1/4 of a pound of clay for the students in her pottery class. She then divided the clay into 2 equal pieces for
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1/4lb / 2 = 1/8lb.

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3 0
3 years ago
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2(w-1)+8=6(2w-4) please help w=?
sergejj [24]

Answer:

W = 3

Step-by-step explanation:

2(W - 1) + 8 = 6(2w - 4)

2w - 2 + 8 = 12w - 24

2w + 6 = 12w - 24

6 = 10w - 24

30 = 10w

3 = W

Hope this helps. Pls give brainliest.

5 0
3 years ago
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