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
GaryK [48]
3 years ago
5

Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

Step-by-step explanation:

Given

\sqrt{128a^{6}b^{13}}

Required

Solve

\sqrt{128a^{6}b^{13}}

The expression can be split to:

\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}

So, we have:

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}

Rewrite as:

\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2}  * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

You might be interested in
Ellle bought 6 pineapples for $12.95. Estlm<br> the cost of each pineapple to the nearest cent?
Zarrin [17]

Answer:

$2.16

Step-by-step explanation:

divide $12.95 by 6

12.95/6=2.15833333333

round to the nearest cent : $2.16

4 0
3 years ago
I dont get angles at all
Free_Kalibri [48]

Answer:

The picture is not clear.

7 0
3 years ago
Wilma purchased 8 identical notebooks, and some pencils for school. Overall, she paid $25.56 for everything.
Brrunno [24]
D) 8x + 3.56 = 25.56

8 0
3 years ago
HELPPPP!!!! The Super Fencing Company builds cedar fences for homes at a cost of
Lina20 [59]

Answer:

16

Step-by-step explanation:

1400/85 = 16.47

largest integer below that is 16

6 0
3 years ago
The students at Barton Academy are planning a fundraiser to give money to an organization in their community. They voted for whi
ankoles [38]

Answer: How do I look?

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A game involves spinning the spinner. What is the probability of the pointer landing on R
    12·2 answers
  • Identify the value of y and the length of each chord. HELP ASAP!!
    6·2 answers
  • Why did the woman take her clock to the vet
    10·2 answers
  • Convert the number 0.000127 to scientific notation, then write the answer using a power of 10.
    5·1 answer
  • 1.81 as a mixed number
    9·1 answer
  • Mahesh and jayraj share $72 in the ratio 7:5. how much does mahesh receive?
    11·1 answer
  • If the product of two rational numbers is (-9/16) and one of them is (-4/15) find the other number.​
    14·1 answer
  • Please help I’ll mark you as brainliest if correct
    13·1 answer
  • Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​
    5·1 answer
  • 3 y and ! Use a common denominator to find equivalent fractions for Enter the correct fractions in the boxes. Hint 1 6 4 9 5. 6
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!