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4 years ago

Which of the following is equivalent to the expression below? -98

Mathematics

1 answer:

igor_vitrenko [27]4 years ago

5 0

Answer:

7i sqrt(2)

Step-by-step explanation:

sqrt(-98)

We know that sqrt( ab) = sqrt(a) sqrt(b)

sqrt(-1) sqrt(98)

The sqrt (-1) = i

i sqrt(98)

i sqrt(49) sqrt(2)

i*7* sqrt(2)

7i sqrt(2)

You might be interested in

What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot

nataly862011 [7]

The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

<h3>What is the simplified form of an equation?</h3>

The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.

The equation provided in the problem is,

$2\sqrt{18}+3\sqrt{2}+\sqrt{162}$

Let the simplified form of the above expression is <em>n. </em>Thus,

$n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}$

Rewrite the equation to solve it further as,

$n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}$

The square of the term cancel out the square root of it. Thus,

$n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}$

Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.

Learn more about the simplified form here;

brainly.com/question/1597694

4 0

2 years ago

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fru

prisoha [69]

Answer:

Ratio of apple to banana is 2:1

Step-by-step explanation:

To find ratio of x type of one thing and y type of other thing we divide

x by y and ratio is written as

ratio = x:y

_________________________________

Number of banana = 2

Number of apples = 4

Ratio of apple to banana = Number of apples :Number of banana

Ratio of apple to banana = 4:2

since 4 is divisible by 2 , to get the ratio in simplest form

we divide both numerator and denominator by 2

Ratio of apple to banana = 4/2:2 /2 = 2:1

Thus,

Ratio of apple to banana is 2:1

3 0

4 years ago

2 x (6÷2 +8) -4 Help me

lana [24]

Answer:

22x-4

Step-by-step explanation:

2x(3+8)−4

Simplify 3+8 to 11.

2x×11−4

Simplify 2x times 11 to 22x.

22x−4

8 0

2 years ago

Pls help I don’t understand

DaniilM [7]

Its simple.

Cost of t-Shirt each=$14

Cost of shorts each=$18

No. of clothes=x t-shirts and y shorts

so just multiply cost of each t-shirt no.of t-shirts and do the same thing with the Shorts

you get the answer as 14x +18y

There! you've expressed it in the form of ax+by and 14 and 18 are also positive or negative constant

Youve found the answer satisfing all the requirements

hope it helped you aand if it did please mark as brainliest answer

Thanks and keep studying

5 0

3 years ago

A cylinder has radius R = 3.7 and height H = 5.6 both measured in inches. What is the volume of this cylinder measured in cm3? (

lorasvet [3.4K]

Answer:

<h2>The volume is $3946.17cm^3$ </h2>

Step-by-step explanation:

We need to convert the radius and the height to cm first

1 cm = 0.393701 in

r (cm)= 3.7 in

$h(cm)= \frac{3.7}{0.393701}= 9.398 cm$

1 cm = 0.393701 in

h (cm)= 5.6 in

$h(cm)= \frac{5.6}{0.393701}= 14.22 cm$

The formula the volume of cylinder is

$volume= \pi r^2h\\\\volume= 3.142*9.398^2*14.22\\volume=3946.17cm^3$

7 0

4 years ago