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
Rzqust [24]
3 years ago
13

How do you rationalise this surd?

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
8 0

(√2 + √6)/2

To rationalise the denominator multiply the numerator/ denominator by √2

= ( 1 + √3)/√2 × √2/√2 = (√2 + √6)/2


Ksivusya [100]3 years ago
5 0

\frac{1 +  \sqrt{3} }{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} } =  \frac{ \sqrt{2}  +  \sqrt{6}  }{2}
here you go
You might be interested in
A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (
anastassius [24]

Answer:

The answer to your question is 8.5 m

Step-by-step explanation:

Data

angle = Ф = 12°

dept = 40 m

distance from the ship to the treasure = ?

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

                      tan Ф = Opposite side / Adjacent side

-Solve for Opposite side

                      Opposite side = Adjacent side x tanФ

-Substitution

                      Opposite side = 40 x tan 12

-Simplification

                       Opposite side = 8.5 m

7 0
3 years ago
Which gives the area of a rhombus with sides of length 10 in, and longer
Kaylis [27]

Answer:

Area of rhombus = 96 inch²

Step-by-step explanation:

Given:

Side length of rhombus = 10 inch

Length of longer diagonal = 16 inch

Find:

Area of rhombus

Computation:

We know that, diagonals of rhombus perpendicular bisect each other

So,

Half of small diagonal = √Side length of rhombus² - Half length of longer diagonal²

Half of small diagonal = √10² - 8²

Half of small diagonal = √100 - 64

Half of small diagonal = √36

Half of small diagonal = 6 inch

Length of smaller diagonal = 2 x 6

Length of smaller diagonal = 12 inch

Area of rhombus = (Product of diagonals)/2

Area of rhombus = (16 x 12)/2

Area of rhombus = 96 inch²

8 0
3 years ago
5x+7+5= solve for x ..
Juliette [100K]

Answer:

x= y/5 − 12/5

Step-by-step explanation:

Can I have brainliest?

4 0
3 years ago
Could triangle ABC be congruent to ADC by SSS? Explain
max2010maxim [7]

Answer: it’s C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What’s the area formula, of 48m
ra1l [238]

Answer:

The area formula of a circle is A=\pi* r^2 where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us 7,238.23\ m.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

6 0
2 years ago
Read 2 more answers
Other questions:
  • F(x) = x2 + 2x - 2<br> Show graph
    6·1 answer
  • HOW CAN I FIND THE COMMON DENOMINATOR FOR 1/3 AND 1/5​
    8·1 answer
  • Can someone please find the surface area for me? With work shown? Thank you!
    11·2 answers
  • ❗️❗️❗️❗️help plzzzzzz
    12·2 answers
  • Find the mode and median of the data. A. mode = 41 median = 72 B. mode = 72 median = 94 C. mode = 94 median = 94 D. mode = 94 me
    6·2 answers
  • 3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
    11·2 answers
  • 5x + 5<br><br> 18x + 6<br><br> 4x - 7<br><br> 10x - 35<br><br> 32x + 24y<br><br> 30x - 40
    5·1 answer
  • Arthur is trying to find the equation of a perpendicular to y = 1 over 4x + 4 in slope-intercept form that passes through the po
    12·2 answers
  • PLS ANSWER ILL GIVE THE BRAINLIEST AND 20 POINTS PLSSS
    13·1 answer
  • A number, n, increased by 6, and them the sum is doubled
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!