All categories

2 years ago

Simplify fully V8 x V18

Mathematics

2 answers:

MariettaO [177]2 years ago

7 0

Answer:

Step-by-step explanation:

· $\sqrt{8}$ × $\sqrt{18}$ = $\sqrt{144}$

$\sqrt{144}$ =12

tangare [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ and $\sqrt{a}$ × $\sqrt{a}$ = a

Given

$\sqrt{8}$ × $\sqrt{18}$

Simplifying each radical

$\sqrt{8}$ = $\sqrt{4(2)}$ = $\sqrt{4}$ × $\sqrt{2}$ = 2 $\sqrt{2}$

$\sqrt{18}$ = $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Thus

$\sqrt{8}$ × $\sqrt{18}$

= 2 $\sqrt{2}$ × 3 $\sqrt{2}$

= 2 × 3 × $\sqrt{2}$ × $\sqrt{2}$

= 6 × 2

= 12

You might be interested in

15% of the students in school eat hot lunch. If 60

morpeh [17]

Answer:

400 students

Step-by-step explanation:

So 15 percent is 60 students

make an equation

0.15x=60

X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems

that’ll give you 400 students

if you check

400*0.15=60

So its correct

7 0

2 years ago

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

beks73 [17]

When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is $v=\frac{4}{3} \pi r^3$

In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

Given in the question $\frac{dv}{dt} =3ft^3/min$

thus when we substitute the values we get

$\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min$

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0

2 years ago

Write an inequality for the given statement: The sum of x and 25 is less than 75.

Kaylis [27]

That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".

4 0

3 years ago

Enter the number that belongs in the green box

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

6 0

2 years ago

Identify true statements. You must select all that apply.

Maksim231197 [3]

Answer:

c in any set of ordered pairs,the second coordinate is called domain

Step-by-step explanation:

plato user only

7 0

2 years ago

Read 2 more answers