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meriva
4 years ago
8

a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample math

ematical work. given (-5√20+√3)*(2+√3), i first distribute to get the expression -10√20-5√60+2√3+√9, which i can simplify to -40√5-20√15+2√3+3 for an answer. a. the student did not properly distribute the radicals b. the student overlooked combining one or more of the radical terms c. the student did not properly simplify all radicals d. the work shown above is correct
Mathematics
2 answers:
weqwewe [10]4 years ago
4 0
C), radicals siplified incorrectly
tankabanditka [31]4 years ago
3 0

Answer:

Step-by-step explanation:

Given that a student's work to distribute and simplify a radical is shown below.

Given

(-5√20+√3)*(2+√3)

The next step of distribution is

-5√60+2√3+√9 is done correctly.

Next step is

-40√5-20√15+2√3+3

I term = -10√20=-20√5

Correct answer is

Hence c) the student did not properly simplify all radicals

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<h2>Hello!</h2>

The answers are:

1  x=-20

2  x=-9

3 x=-5 

4  r=-2

5  x=-4.5

<h2>Why?</h2>

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have  an equality:  if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20

2 - Solving for "x"

-3x+4=31\\-3x=31-4=27\\x=\frac{27}{-3}=-9

3 - Solving for "x"

2x+(-12)=-22\\2x-12=-22\\2x=-22+12=-10\\\\2x=-10\\x=\frac{-10}{2}=-5

4  - Finding the solution

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5 - Finding the solution

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Have a nice day!

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