All categories

3 years ago

Is the simplified form of 2 square root of 3 ⋅ 2 square root of 6 rational?

Mathematics

2 answers:

alina1380 [7]3 years ago

7 0

√3(√6)
= √3(6)
=√3(3·2)
=3√2

B. No the product will not be rational as 3√2 cannot be expressed as a simple fraction

Novosadov [1.4K]3 years ago

3 0

Yes it is
sry i had to type extra cuz it say "write at least 20 characters"
aghhh

You might be interested in

---- PLEASE HELP <3 .. with steps :( <3

Zielflug [23.3K]

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

The function that we have in this problem is

$g(x)=3x$

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

$g_1(x)=3x=3\cdot 2 = 6$

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

$g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18$

Finally, the 3rd iteraction is given by:

$g_3(x)=3g_2(x)=3\cdot 18=54$

Here in this problem the function that we have to use is

$g(x)=\frac{1}{3}x+1$

The initial value is

$x=2$

So the first iteration is given by

$g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}$

To find the 2nd iteration, we substitute this value into g(x) again:

$g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}$

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

$g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}$

The function in this problem is

$g(x)=-|x-2|+3$

The initial value is

x = 0.5

So, the first iteration is:

$g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5$

The second iteration is given by

$g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5$

Finally, the 3rd iteration is

$g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5$

5 0

3 years ago

Find the X intercepts of the equation f(x) = x^2 - 6x + 6

Arturiano [62]

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = −6 ± √ 36 + 24

= −6 ± √60

−2x

= −6 ± 2 √ 15

−2 = 3 ± √15

8 0

3 years ago

Please help with my math

shusha [124]

Answer:

Step-by-step explanation:

These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.

If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.

RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.

x+5=16, subtract 5 from both sides.

x=11

5 0

3 years ago

What is the quotient of 1/8 divided by 4

barxatty [35]

Answer:

0.03125

Step-by-step explanation:

1/8 would also equal to (1 divided by 8) which equals 0.125. The next step is to divide 0.125 by 4. you will get 0.03125

3 0

3 years ago

Read 2 more answers

You have a triangle with one side length of 5 and side B

Anna [14]

Answer:

13.9283882772

Step-by-step explanation:

Pythagorean Theroem, so 5^2+13^2=194

Under square root 194=13.9283882772

Hope I helped!

6 0

3 years ago