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
Sonbull [250]
3 years ago
9

Simplify the following expression, show all work you did to get the results​

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...

Step-by-step explanation:

Simplify the following:

(sqrt(14))/(sqrt(18))

Hint: | Simplify radicals.

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

(sqrt(14))/(3 sqrt(2))

Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).

Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):

(sqrt(14) sqrt(2))/(3×2)

Hint: | Multiply 3 and 2 together.

3×2 = 6:

(sqrt(14) sqrt(2))/6

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).

sqrt(14) sqrt(2) = sqrt(14×2):

(sqrt(14×2))/6

Hint: | Multiply 14 and 2 together.

14×2 = 28:

(sqrt(28))/6

Hint: | Simplify radicals.

sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):

(2 sqrt(7))/6

Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.

2/6 = 2/(2×3) = 1/3:

Answer:  (sqrt(7))/3

You might be interested in
WHAT IS THE LENGTH OF EF IN THE RIGHT TRIANGLE BELOW? answers are in the picture !
xeze [42]
Using\ the\ Pythagoreans'\ theorem,\ \\ \\ \\ c^2=a^2+b^2 \\ \\ 25^2=7^2+b^2 \\ \\ b^2=625-49 \\ \\ b= \sqrt{576} \\ \\ = 24\ units
6 0
3 years ago
Read 2 more answers
Whats the answer to 3 sqaured plus 2x equals 7
damaskus [11]

Answer:

Step-by-step explanation: 3²+12²=x² simplifies to 9+144=x² so 153=x² or x²=153.

4 0
2 years ago
Help I will give brainliest to wboever answers best​
Fiesta28 [93]

Answer:

Area of ABD = 9/2 or 4.5cm^2

Step-by-step explanation:

Area of triangle =

\frac{bh}{2}

plug-in ABD

\frac{3 \times 3}{2}

\frac{9}{2}

Area of ABD = 9/2 or 4.5cm^2

8 0
3 years ago
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
QveST [7]
The correct answer  is 2,1
6 0
3 years ago
Read 2 more answers

larisa86 [58]

Answer:

The correct answer is D, 0.20. You add the probabilities of either situation occurring and subtract the probability of both of them occurring.

Step-by-step explanation:

0.25 + 0.08 - 0.13 = 0.20

3 0
3 years ago
Read 2 more answers
Other questions:
  • Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
    12·2 answers
  • What are prime numbers
    15·2 answers
  • A swimming pool is in the shape of a right triangle. One leg has a length of 7 feet and one leg has a length of 24 feet. Estimat
    15·2 answers
  • A circular plate has a radius of 13cm. What is the area of the plate? Use 3.14 for pi. Enter your answer as a decimal in the box
    15·1 answer
  • An angle measures 36° less than the measure of a complementary angle. What is the measure of each angle?
    6·1 answer
  • Find the perimeter of the
    6·1 answer
  • What is the answer to this
    6·2 answers
  • What would the exponential growth model be for the given situation?
    9·1 answer
  • Find the distance between (3,-2) and (2, -4)
    14·1 answer
  • Evaluate the following expression. 2\cdot10^4-7^3=2⋅10 4 −7 3 =2, dot, 10, start superscript, 4, end superscript, minus, 7, cube
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!