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ohaa [14]
3 years ago
5

What is the simplest form of expression? sqrt 3 - sqrt 6 over sqrt 3 + sqrt 6

Mathematics
2 answers:
Kobotan [32]3 years ago
5 0
(√3-√6) / (√3+√6)
We have to multiply the denominator and numerator by the conjugate of the denominator.
the conjugate of the denominator is :(√3-√6)

Therefore:

(√3-√6) / (√3+√6) =[(√3-√6)(√3-√6)]  /  [(√3+√6)(√3-√6)]
=(√3-√6)² / (3-6)
=[3-2(√3)(√6)+6] / -3
=(9-2√18) / -3
=(-9+6√2) /3
<span>=-3+2√2


Answer: </span>(√3-√6) / (√3+√6)= -3+2√2
andrew11 [14]3 years ago
3 0
It's in a decimal form
You might be interested in
If Kathy walks 3 miles in 80 minutes how far will she in 120 minutes
zepelin [54]

Answer:

4.5 miles

Step-by-step explanation:

We can use a ratio to solve

3 miles                 x miles

---------------  = ----------------

80 minutes         120 minutes

Using cross products

3 * 120 = 80x

Divide each side by 80

360/80 = 80x/80

4.5 =x

8 0
3 years ago
Given g(x)=3x-3, solve for x when g(x)=6.
lana [24]

Answer:

3

Step-by-step explanation:

g ( x ) = 6

g ( x ) = 3x - 3

3x - 3 = 6

3x = 6 + 3

3x = 9

x = 9 / 3

x = 3

7 0
2 years ago
\3 units
maxonik [38]

Base of prism is seemed to be a triangle

  • Base=B=3
  • Height of base=H=6units
  • Height of prism=8

Area of base=

\\ \sf\longmapsto \dfrac{1}{2}BH

\\ \sf\longmapsto \dfrac{1}{2}(3)(6)=3(3)=9units^2

Now

  • Volume=V

\\ \sf\longmapsto V=9(8)=72units^3

3 0
2 years ago
A
telo118 [61]

Answer:

1 La longitud de las nuevas cuerdas = 5 metros y 9 metros

2 El costo de las paletas = $ 3

El costo de las gomitas = $ 3

Step-by-step explanation:

1) Sea la primera mitad de la cuerda representada por = a

Deje que la segunda mitad de la parte superior esté representada por = b

a + b = 14 metros

De la pregunta, se nos dice que ok, la mitad es 4 metros más larga que la otra

a = b + 4

Por lo tanto

b + 4 + b = 14 metros

2b + 4 = 14 metros

2b = 14 - 4

b = 10/2

b = 5 metros

a = b + 4

a = 5+ 4

a = 9 metros

Por lo tanto, la longitud de las nuevas cuerdas = 5 metros y 9 metros

2)

Representemos el costo de las paletas = p

Costo de gomitas = g

De la pregunta 2 se nos dice que:

Tu vas a la tienda con un amigo y compras 6 paletas y 2 gomitas. Si tú pagas $ 24

Por tanto: 6p + 2g = 24 ....... Ecuación 1

Tu amigo pide 1 paleta y 10 gomitas. y tu amigo $ 33

p + 10g = 33 ....... Ecuación 2

p = 33 - 10g

Sustituya p por 33 - 10g en la Ecuación 1

6p + 2g = 24 ....... Ecuación

6 (33-10 g) + 2 g = 24

198 - 60 g + 2 g = 24

-58g = 24-198

-58g = - 174

g = -174 / -58

g = $ 3

Para encontrar p

p = 33 - 10g

p = 33 - 10 × 3

p = 33 - 30

p = $ 3

Por lo tant,

El costo de las paletas = $ 3

El costo de las gomitas = $ 3

6 0
3 years ago
5 and 6 why they keep giving me this lol
Advocard [28]

Answer:

5. The answer is 2

6. Her error is that she was supposed to subtract 16 minus 12 instead of 12 minus 2.

Step-by-step explanation:

For number 5 all I did was solve.

12 + (25 - 5^2) - 2 =

12 + 0 - 2 =

12 - 2 = 10

10 ÷ 5 = 2

So, for number 5 the answer is 2.

For number 6, you should know that when there are only plus and minus signs you solve from left to right.

She instead put parentheses where there shouldn't of been, and because of that she is wrong.

Hope this helps! :)

5 0
3 years ago
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