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tia_tia [17]
3 years ago
10

Simplify : 7 root 3 / root 10 + root 3 - 2 root 5 / root 6 + root 5 - 3 root 2 / root 15 + 3 root 2

Mathematics
1 answer:
Schach [20]3 years ago
6 0
The answer is

-9√30 + 30√5 + 30√3 + 90√2

We first simplify all of the denominators by multiplying top and bottom by the radical:
(7√3/√10)(√10/√10) + √3 - (2√5/√6)(√6/√6) + √5 - (3√2/√15)(√15/√15) + 3√2

= 7√30/10 + √3 - 2√30/6 + √5 - 3√30/15 + 3√2

Multiply everything by 30 to simplify the fractions:
(7√30/10)(30) + 30√3 - (2√30/6)(30) + 30√5 - (3√30/15)(30) + 30*3√2
=210√30/10 + 30√3 - 60√30/6 + 30√5 - 90√30/15 + 90√2

Dividing we get
7√30 + 30√3 - 10√30 + 30√5 - 6√30 + 90√2

Combining like radicals we have
-9√30 + 30√3 + 30√5 + 90√2
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(a-7)(a-3) as a function
stiv31 [10]

Answer:

a^2 −10a+21

Step-by-step explanation:

(a−7)(a−3)

Apply the distributive property by multiplying each term of a−7 by each term of a−3.

a^2 −3a−7a+21

Combine −3a and −7a to get −10a.

a^2 −10a+21

7 0
3 years ago
Which expressions are equivalent to 2 ( 4 f + 2 g ) Choose 3 answers
sweet-ann [11.9K]

Answer:

Since there are no choices to choose from, I'll make it up.

8f + 4g

8(f + 1/2g)

4(2f + g)

Hope this helps!! Please mark as brainliest if you don't mind! Thanks ^^

4 0
3 years ago
3 Help this is too confusing!!!!
Lisa [10]

tbm queria saber essa pergunta

5 0
3 years ago
What is the answer to this integers (-10)(-3)(0)
damaskus [11]
ZERO

as it is eventually multiplied by 0
4 0
4 years ago
Read 2 more answers
How would we know the gcf of 4xy+8x^2y-24x^4y^5​
Alona [7]

9514 1404 393

Answer:

  4xy

Step-by-step explanation:

List the prime factors of each term.

  • 4xy = 2·2·x·y
  • 8x^2y = 2·2·2·x·x·y
  • 24x^4y^5 = 2·2·2·3·x·x·x·x·y·y·y·y·y

Identify a factor that appears in each list. Cross it off of each list and add it to your list of "output" factors. Repeat until you run out of factors that appear in all of the lists.

You should quickly determine that all of the factors of 4xy appear in both other lists. That is the GCF. When you have exhausted the factors of 4xy, there are no more possible common factors.

  GCF = 4xy

Then the expression can be factored as ...

  = 4xy·(1 +2x -6x^3y^4)

_____

<em>Additional comment</em>

If you use exponents to simplify writing repeated multiplication, you will find that the GCF has the factors with the lowest exponent. Here, the lowest power of 2 is 2^2 in 4xy; the lowest exponents of x and y are 1, also in that term.

6 0
3 years ago
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