1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
12

Find the simplified product sqrt 2x^3 sqrt 18x^5

Mathematics
2 answers:
KatRina [158]3 years ago
4 0
The first step to solving this is to remember the radical rules. They state that the product of roots that have the same index are equal to the root of the product. Knowing this,, the expression changes to the following:
\sqrt{2 x^{3} X 18 x^{5}  }
Next you'll add the two exponents together and then calculate the product.
\sqrt{36 x^{8} }
Lastly,, calculate the square root to find your answer.
6x^{4}
This means that the correct answer to your question will be 6x^{4}.
Let me know if you have any further questions
:)
forsale [732]3 years ago
3 0
Hello there!

\sqrt{2x ^{3} }  \sqrt{18x ^{5} }

We need to use the Radical Rules.

Do you know it?

Answer; The product of roots with the same index is equal to the root of the product.

What does that even mean? Well, it means that we need to multiply all of them under the same square root.

\sqrt{2x ^{3} * 18x ^{5}  }

Ok so now we need to calculate the product.

To calculate the product, we need to multiply the base together and we need to add the exponent together.

2 * 18 = 36 and 3 + 5 which are the exponents = 8

So, it looks like that:

\sqrt{36 x^{8} }

Here we go again! Now we need to calculate the square root. (We are almost there!)

The root of a product is equal to the product of the roots of each factor.

So it looks like this:

\sqrt{36}  \sqrt{x^8}

Now we need to write it in exponential form:

\sqrt{6^2} x^4

When we reduce the index of the radical and the exponent with 2, we find the final answer, which is:

Answer: 6x^4


Let me know if you have any questions about the answer. As always, it is my pleasure to help students like you!


You might be interested in
HELP ASAP.<br><br> Please solve.<br><br> 2 plus or minus the square root of negative 36 over 2
AVprozaik [17]

Answer:

The expression is not defined in a set of real numbers.

The square root of a negative number is not defined in the set of real numbers.

5 0
3 years ago
For his long distance phone service, Hans pays a monthly fee plus cents per minute. Last month, Hans's long distance bill was .
Naya [18.7K]
Monthly fee+cents(x)=bill
7 0
3 years ago
Ashanti wants to collect more than 50 food items for the local homeless shelter. If he has already collected 13, how many more i
Marina CMI [18]
The answer is 37 you have to subtract
6 0
3 years ago
Read 2 more answers
Let f(x)=x^2-5x+8 and g(x)=x^2-4 (f-g)(x)=
Bogdan [553]
What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12
8 0
3 years ago
A team has won 60 percent of the 20 games it has playes so far this season. If the team plays a total of 50 games all season and
Luden [163]
So far team has won =(60/100)*20 = 12 gamesTotal games played in season =5080 percent of the remaining games won = 80 percent of (50-20) = (80/100)*30 = 24 games.Total game won this season = 36So, percent games won in the entire season = (36/50)*100=72%Answer (4)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions are equivalent to 6^16 ? Check all that apply
    13·2 answers
  • Determine the y-intercept of the following parabola:<br> y = (x - 3)(x + 7)
    14·2 answers
  • A family ordered some candy bars and bags of chips for snacking. The number of candy bars was twice as much as the number of bag
    12·1 answer
  • According to a study conducted in one​ city, 34​% of adults in the city have credit card debts of more than​ $2000. A simple ran
    12·1 answer
  • Some help please? <br><br> What is the coefficient of the term of degree 1 in the polynomial
    15·2 answers
  • Help me answer plz lol
    11·1 answer
  • To solve the equation-10n4 6n2 - 3 = 0 with the quadratic formula, what values
    6·1 answer
  • Write a rule to describe each reflection.<br><br> Rule:r(?) (x,y)=(?)
    14·1 answer
  • Jonah lent Angelica $150 to help her buy a laptop computer. If Jonah charges her 8.8% interest and
    12·1 answer
  • Find the volume of the rectangular pyramid ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!