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
lutik1710 [3]
3 years ago
7

Rationalize the denominator of 4/14 root 2?

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

\dfrac{4}{14\sqrt{2}} = \dfrac{2\cdot 2}{2\cdot 7\cdot\sqrt{2}} = \dfrac{2}{7\sqrt{2}}

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.

To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

\dfrac{2}{7\sqrt{2}} = \dfrac{2}{7\sqrt{2}}\cdot 1 = \dfrac{2}{7\sqrt{2}} \cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{2\sqrt{2}}{7\cdot 2} = \dfrac{\sqrt{2}}{7}

You might be interested in
Find (f ∘ g)(4) when f(x) = -5x - 7 and g(x) = -6x 2 + 9x + 9.
mr_godi [17]

Answer:

\boxed{\sf \ \ \ 248 \ \ \ }

Step-by-step explanation:

Hello,

(fog)(4)=f(g(4)) \ \ \ and \ \ \ g(4)=-6*4^2+9*4+9=-51 \ \ so\\(fog)(4)=f(-51)=-5*(-51)-7=255-7=248

hope this helps

7 0
3 years ago
Someone please help and explain it would really help
Vaselesa [24]

So when you're solving for x here and distribute 8 on the right side, it would look like this:

8x+47=8(x+5)\\ \\ 8x+47=8x+40

Now in order to solve for x, we know we have to get all the x's on one side of the equal sign. Let's get all our x's to the left side. Since the right side has a positive 8x, you need to subtract 8x on the right. But whatever you do to one side you must do to the other. So since we are subtracting 8x on the right, we need to do that on the left.

But we can't! Since both sides will cancel out to zero before x can be solved.

Therefore the answer is 0.

Hope that helps!

8 0
3 years ago
Please help ill mark brainliest
7nadin3 [17]

Answer:

D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you double the length of each
Marina CMI [18]

Answer:

old per: 1280

new per:2560

Step-by-step explanation:

first perimeter u get it by adding all the sides and since its a square  then all the sides are equal so u can just do

320*4 which is equal to 1280

and by doubling the sides u can just double it in the old equation meaning

(320*2)*4

which is equal to 2560

6 0
3 years ago
Read 2 more answers
0.0007 in standard form
zhannawk [14.2K]
—————>>>>>>>. 7x10^-4
5 0
3 years ago
Read 2 more answers
Other questions:
  • Between 11 P.M. and 8:36 A.M.​, the water level in a swimming pool decreased by 8 25 in. Assuming that the water level decreased
    14·1 answer
  • Please need help on this
    6·1 answer
  • 10x^3 - 6x^2 + 50x - 30
    6·2 answers
  • You are given the following points: A=(−6,−5,18)A=(−6,−5,18), B=(−17,0,−1)B=(−17,0,−1), C=(7,−11,−20)C=(7,−11,−20). Which point
    10·1 answer
  • A man is walking a triangular path, partially represented by the vectors AB−⇀−=⟨0,10⟩ and CA−⇀−=⟨−12,0⟩ . If his distance is rep
    11·1 answer
  • Jose weighs 180 pounds and plans on gaining 2 pounds per week. Marty weighs 249 pounds and plans on losing 1 pound per week. In
    15·1 answer
  • What is the range???
    15·1 answer
  • Nicole is making 1,000 bows for people who donate to the library book sale. She needs a piece of ribbon that is o.75 meters long
    14·1 answer
  • A total of 937 people attended the play.
    13·1 answer
  • Hong needs to memorize words on a vocabulary list for Russian class. He has 14 words to memorize, and he is one-half done. How m
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!