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
notka56 [123]
3 years ago
10

Can you help me simplify these double radicals?

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0
You know that
.. (a +b)^2 = a^2 +b^2 +2ab
If these are square roots, then you have
.. (√a +√b)^2 = a +b +2√(ab)
.. (√a -√b)^2 = a +b -2√(ab)

In each case, you can put the inner radical in the form 2√something, then look for two factors of "something" that add to the other constant.
The result is then √factor1 ±√factor2, with the sign matching that under the original radical.

1. 1 +√5
2. 2 +√2
3. √3 +√7
4. √5 -√2 . . . . . . . . Technically, √(x^2) = |x|. By expressing the result as a positive number (smaller subtracted from larger), we don't have to worry about absolute value.

5. See 3 and 4. √7 -√3
6. √20 = 2√5. See 1 and 4.
.. √5 -1
7. 2 -√3
8. 4√3 = 2√12 = 2√(6*2)
.. √6 +√2
9. 6√3 = 2√(9*3)
.. 3 -√3
10. 8√3 = 2√(16*3)
.. 4 +√3
You might be interested in
Write in standard form. 4g - 5g3 + 9g2 - 6
Fittoniya [83]

Answer:

- 5g {}^{3}  + 9g {  }^{2}  + 4g - 6

Step-by-step explanation:

this \: is \: the \: standard \: form \\ hope \: it \: helps \\ pls \: mark \: it \: a \: brainliest...

6 0
3 years ago
Preform the indicated multiplication below. reduce the terms and simplify (2+i)(3-i)(1+2i)(1-i)(3+i)
lbvjy [14]

Answer:

Hey there!

Expand (2+i)(3-i). You should get 7+i

Expand (7+i)(1+2i). You should get 5+15i

Expand (5+15i)(1-i). You should get 20+10i

Expand (20+10i)(3+i). You should get 50+50i as your final answer.

Let me know if this helps :)

5 0
4 years ago
Can some one help me with geometry
Anuta_ua [19.1K]
Um, what about geometry? What problem?
7 0
3 years ago
Which equation can be used to solve for a? A.) tan50=a/3 B.) cos50=3/a C.) sin 50=a/3 D.) tan50=3/a
LUCKY_DIMON [66]

Answer:

D. tan50° = 3/a

Step-by-step explanation:

We use tangent (tan∅) to find <em>a</em>. Remember tan is opposite over adjacent.

6 0
3 years ago
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a f
worty [1.4K]

Answer:

38.91.

Im not sure but let me know if it's wrong

round it to 34%

4 0
2 years ago
Read 2 more answers
Other questions:
  • How to write an expression that shows how to use the having and doubling to find 25 × 50
    11·2 answers
  • Help me plz IOL DI ANYTHING OML
    14·1 answer
  • college student borrows ​$2 000 for 3 months to pay for a semester of school. If the interest is ​$41.25​, find the monthly paym
    8·1 answer
  • 14. Rhonda invested $5000 in an interest bearing account which earns 2.5% annually. How
    5·1 answer
  • A paralegal makes $12 more per hour than an assistant. If the combined hourly wage of the paralegal and assistant is $38, what i
    7·2 answers
  • Please quick going to die
    11·1 answer
  • Need help on my qyiz​
    11·1 answer
  • Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets a
    7·1 answer
  • Hello I need help :)
    9·2 answers
  • The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!