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3 years ago

Is 6 to the square root rational or irrational

Mathematics

2 answers:

NeTakaya3 years ago

7 0

Answer:

rational

Step-by-step explanation:

6 can be cut in haft.

snow_tiger [21]3 years ago

3 0

Answer:

The square root of 6 cannot be rational

Step-by-step explanation:

a/b = square root of 6. But this last statement means the RHS (right hand side) is even, because it is a product of integers and one of those integers (at least) is even. ... Then our initial assumption must be false, so the square root of 6 cannot be rational. There you have it: a rational proof of irrationality.

You might be interested in

Find the value of 7w-8 given that -4w-5=3<br> Simplify your answer as much as possible.<br> 7w - 8 =

blondinia [14]

Answer:

The value of 7w - 8 is -22

Step-by-step explanation:

Let us solve the question

∵ -4w - 5 = 3

→ Move -5 from the left side to the right side by adding both sides by 5

∴ -4w - 5 + 5 = 3 + 5

∴ -4w = 8

→ Divide both sides by -4

∵ $\frac{-4w}{-4}$ = $\frac{8}{-4}$

∴ w = -2

→ Now let us find the value of the given expression

∵ The given expression is 7w - 8

→ Substitute w by -2 to gets its value

∴ 7w - 8 = 7(-2) - 8

∴ 7w - 8 = -14 - 8

∴ 7w - 8 = -22

∴ The value of 7w - 8 is -22

8 0

3 years ago

Can anyone help me as soon as possible??

matrenka [14]

Answer:

X = 16

Step-by-step explanation:

Notice that we are in the presence of two similar triangles, one larger than the other. The larger triangle is AED, and the smaller one is ACB.

Since there are similar triangles, we can write a proportionality between their known sides:

$\frac{side\,\,AD}{side\,\,AB} =\frac{side\,\,ED}{side \,\,CB}$

notice that AD = x + 6

AB = x

ED = 11

CB = 8

So now we can re-write the proportion and solve it for the unknown "x":

$\frac{side\,\,AD}{side\,\,AB} =\frac{side\,\,ED}{side \,\,CB} \\\\\frac{x+6}{x} =\frac{11}{8} \\8\,(x+6)=11\,x\\8\,x\,+\,48=11\,x\\48=11\,x-8\,x\\48=3\,x\\x=\frac{48}{3} \\x=16$

3 0

3 years ago

Read the example and identify the method of collecting data that was used:

svet-max [94.6K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

time of day of watering plants vs growth rates

Step 02:

method of collecting data:

we must analyze the options to find the solution.

sample survey ===> FALSE

observational study ===> observes individuals and measures variables of interest but does not attempt to influence the responses. TRUE.

experiment ===> FALSE

The answer is:

observational study

4 0

1 year ago

Katie divided 4.25 by 0.25 and got a quotient of 0.17 what is wrong?

nalin [4]

It should be 17 because 4.25 divided by 0.25 is the same as 425/25 which is 17.

8 0

4 years ago

Read 2 more answers

Gina has 440 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are

podryga [215]

Answer:

<h3>THerefore, the area would be 12,100 square yards</h3>

Step-by-step explanation:

Let the length be x and the width be y

The perimeter of a rectangle is give as ; 2 ( L + B) , that is

We know the perimeter formula would be 440=2x+2y. And the area will be A=x*y

We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.

440-2x=2y

220-x=y

A=(x)*(220-x)

A=220x-x^2

Now we take the derivative:

A'=220-2x (set equal to 0 and solve)

0=220-2x

2x=220

x=110

Then when we plug this into the perimeter formula, we can solve for y

440=2x+2y

440=2(110)+2y

440=220+2y

220=2y

y=110

So both the length and width are 110 yards, and the area would be 12,100 square yards

<h3>THerefore, the area would be 12,100 square yards</h3>

6 0

3 years ago