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Rzqust [24]
3 years ago
13

How do you rationalise this surd?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

(√2 + √6)/2

To rationalise the denominator multiply the numerator/ denominator by √2

= ( 1 + √3)/√2 × √2/√2 = (√2 + √6)/2


Ksivusya [100]3 years ago
5 0

\frac{1 +  \sqrt{3} }{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} } =  \frac{ \sqrt{2}  +  \sqrt{6}  }{2}
here you go
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(3 points)
Snezhnost [94]

Answer:

The exponential Function is 20+12h=200.

Farmer will have 200 sheep after <u>15 years</u>.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = \frac{60}{100}\times20 = 12

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years  is equal to 200.

Framing in equation form we get;

20+12h=200

The exponential Function is 20+12h=200.

Subtracting both side by 20 using subtraction property we get;

20+12h-20=200-20\\\\12h=180

Now Dividing both side by 12 using Division property we get;

\frac{12h}{12} = \frac{180}{12}\\\\h =15

Hence Farmer will have 200 sheep after <u>15 years</u>.

6 0
3 years ago
What is 5x÷68y×45-12x <br><br><br><br>soooo does anybody wanna talk im board​
Phoenix [80]

Answer:

sure (✿^‿^)

Step-by-step explanation:

。◕‿◕。

Hi! how are you?

4 0
2 years ago
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

5 0
2 years ago
7/2x + 1/2x = 7 + 9/2x
lesya [120]

Answer: x=-14

Step-by-step explanation:

5 0
1 year ago
Algebra: Probability
RoseWind [281]

Answer:

qurtile1 =  (\frac{n + 1}{4})th \: item \\  =  (\frac{15 + 1}{4})th \: item  \\  = 4th \: item \\ quartile1 = 10 \\ now \\ quartile2 =( \frac{n + 1}{2})th \: item \\  = ( \frac{15 + 1}{2})th \: item \\ = 8th \: item \\ quartile2 = 18 \\ again \\ quartile3 = 3( \frac{n + 1}{4})th \: item \\  = 3( \frac{15 + 1}{4})th \: item \\  = 12th \: item \\ quartile3 = 40

8 0
3 years ago
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