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
Lilit [14]
3 years ago
6

Please help!! Write in simplest radical form: √7/8 Show how you figured it out

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Given expression: \sqrt{\frac{7}{8}}.

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

=\frac{\sqrt{7}}{\sqrt{8}}

\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}

\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}

=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}

=\frac{\sqrt{14}}{4}

=\frac{\sqrt{14}}{4}.

You might be interested in
Radius: 3.5 units, Center (0,3.5)
vlabodo [156]

Step-by-step explanation:

General equation of circle:

(x - a)² + (y - b)² = r².

Therefore we have x² + (y - 3.5)² = 12.25.

5 0
2 years ago
A newborn baby had about 26,000,000,000 cells. An adult has about 4.94 times 10 to the 13 power cells. How many times as many ce
Tom [10]
2.6 • 10^10 = 26,000,000,000
4.94 • 10^13 = 49,400,000,000,000

49,400,000,000,000/26,000,000,000= 1900

And adult had 1900 times more cells than a newborn. Or if you want to put it in scientific notation it would be 1.9 • 10^3
4 0
3 years ago
Mr.Brown has 110 fiction books and 90 non-fiction books on his shelf. what percent of her library is non fiction?
Vanyuwa [196]

Answer:

45%

Step-by-step explanation:

Given

Number of fiction books = 110

Number of non fiction books = 90

Total number of books = 110 + 90 = 200

% of non fiction books

= number of non fiction books divided by the total number of books multiplied by 100%

That’s

90/200 x 100%

0.45 x 100%

45%

45% of her library is nonfiction

8 0
3 years ago
Evaluate the expression when y=-4.<br> y²-7y+2
harkovskaia [24]

Answer:

Here is your answer

Hope it helps

6 0
3 years ago
A trip to another city is 180 miles. In miles per hour to the nearest tenth, how fast does one have to drive to average 60 mph o
irakobra [83]

Answer:

63.5

Step-by-step explanation:

If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5

7 0
3 years ago
Other questions:
  • It costs $350 to rent a room for a party. You also plan to hire a caterer that charges $9.25 per person. Write and solve a linea
    8·2 answers
  • How do you solve the following equation for x:
    15·1 answer
  • A triangular prism has the same number of face true/false
    7·1 answer
  • Question 6 look at pic pls​
    7·1 answer
  • Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet . How many bracelets can sal make with 5 feet of
    6·1 answer
  • Why does it only have a value of 1
    7·2 answers
  • On Tuesday Lily spent 1/4 hour working on her science fair project.been work three times is mom on his science fair project is L
    7·1 answer
  • qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
    7·1 answer
  • I need help with Additional practice it is find the area of each trapezoids or kite​
    6·1 answer
  • 3. A pair of sneakers are on sale for $89.25. If this represents at 25% discount on the original price,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!