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3 years ago

Select all irrational numbers

Mathematics

2 answers:

DIA [1.3K]3 years ago

7 0

Answer:

it be all of them

elixir [45]3 years ago

5 0

$\clubsuit\;\; \sqrt{4} = 2\;which\;is\;a\;Rational\;Number$

$\clubsuit\;\; \sqrt{8} = 2\sqrt{2}\;which\;is\;an\;Irrational\;Number$

$\clubsuit\;\; \sqrt{10} = \sqrt{2}\times\sqrt{5}\;which\;is\;an\;Irrational\;Number$

$\clubsuit\;\; \sqrt{15} = \sqrt{5}\times\sqrt{3}\;which\;is\;an\;Irrational\;Number$

$\clubsuit\;\; \sqrt{36} = 6\;which\;is\;a\;Rational\;Number$

So, The Options which need to be selected are : 2nd - 3rd - 4th

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Prove that x 2 + y2 - 1 is irreducible in q[ x, y].

weqwewe [10]

Suppose that the polynomial x^2+y^2-1 is not irreducible.
It means that there exists two fractions such that :
$(\frac{p}{q})^2+( \frac{s}{t} )^2 -1=0\\\text{rearranging the above formula we get:}\\p^2t^2=q^2(t^2-s^2)\\\text{since q and p are primes each other, we deduce that }\\\text{q divide t meaning that we can write }t=a\times t\text{ for an integer a}\\\text{rearranging again the formula and using our finding we get:}\\q^2s^2=a^2q^2(q^2-p^2)\\\text{Same argument as above, we deduce that q divide s.}$
We found that q divide t and q divide s, but s and t are supposed to be prime each other. It is a contradiction.
The polynomial x^2+y^2-1 is then irreducible in q[x,y]

6 0

4 years ago

Help?? Thanks if you do

Mariana [72]

Answer:

l = 6 $a^{4}$ + 2a - 1

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

given A = 18 $a^{5}$ + 6a² - 3a and w = 3a , then

3aw = 18 $a^{5}$ + 6a² - 3a ( divide each term by 3a )

w = $\frac{18a^{5} }{3a}$ + $\frac{6a^2}{3a}$ - $\frac{3a}{3a}$ = 6 $a^{4}$ + 2a - 1

6 0

3 years ago

cashews cost $1.74 per pound. walnuts cost $1.92 per pound. how much will 3 1/3 pounds of cashews and 2 5/8 pounds of walnuts co

yan [13]

Answer:

6.09+3.84=9.93 is the desired answer

Step-by-step explanation:

Cashews total cost step by step

1.74×3.5

Multiply 1.74 and 3.5 to get 6.09.

6.09

Peanuts total cost step by step

1.92×2

Multiply 1.92 and 2 to get 3.84.

3.84

3 0

3 years ago

The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje

algol13

Answer: $116\text{ joules}$

Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression $\frac{1}{2}mv^2$ , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.