All categories

2 years ago

Simplify square root of 8y/share root of y

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

Answer:

$2\sqrt{2}$

Step-by-step explanation:

We are required to simplify the following expression;

$\frac{\sqrt{8y} }{\sqrt{y} }$

Using the properties of radicals;

$\frac{\sqrt{a} }{\sqrt{b}}=\sqrt{\frac{a}{b} }$

The expression can be re-written as;

$\sqrt{\frac{8y}{y}}=\sqrt{8}$

Now;

$\sqrt{8}=\sqrt{4*2}=\sqrt{4}*\sqrt{2}\\ \\2\sqrt{2}$

You might be interested in

Which is one way to check 102 ÷ 6 = 17?

katovenus [111]

The correct answer is A

4 0

2 years ago

HELP ASAP!!! math problem 50 points!!!

kirill115 [55]

The answer to the question should be option B

6 0

2 years ago

There are 9 performers who are to present their acts at a variety show. How many different ways are there to schedule their appe

nika2105 [10]

For this type of question it is easiest to think about it in terms of a simple multiplication. The way we can do this is by working out how many possibilities there are for each position on the program. This is as follows:
For the first act, there are 9 possible performers we can pick
For the second act, because we have already assigned a performer to the first act, there are only 8 possible performers
For the third act, because we have already assigned a performer to the first two acts, there are only 7 possible performers
This goes on and on until we reach the final act, where we have used all the performers except one.
Therefore we can say:
For the first act there are 9 possibilities
For the second act there are 8 possibilities
For the third act there are 7 possibilities
For the fourth act there are 6 possibilities and so on
If we want to write this mathematically we can just say that there are:
9 possibilities x 8 possibilites x 7 possibilities etc right down until we are at the final act where there is 1 possibility.
To write this out as an equation we just say:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = the number of different ways
In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
Hope this helped you :)

3 0

2 years ago

Divide 240 in the ratio of 5:3

zubka84 [21]

The answer to your question is 25:15

6 0

2 years ago

Read 2 more answers

A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followi

Mars2501 [29]

Answer:

36 days

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 21 billions pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 21,000,000,000.

So, the equation becomes:

21,000,000,001 = 1 + 2^(n-1)

2^(n-1) = 21,000,000,000

log(2^(n-1)) = log(21,000,000,000)

(n-1) * log(2) = log(21,000,000,000)

n-1 = log(21,000,000,000) / log(2)

n-1 = 34.29

n = 35.29

Since it has to be complete days, and we have to reach over 21 billions, then we round it up to 36.

5 0

2 years ago