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nlexa [21]
3 years ago
15

Use the prime decomposition of integers to express the listed radical in its minimal expression. Do not use decimals.

Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

(A) 210\sqrt{5

(B) 210\sqrt{14}

(C) 1980\sqrt{33}

(D) 37\sqrt{5}

Step-by-step explanation:

\sqrt{220500} = \sqrt{2^2*3^2*5^2*7^2*5} = 2*3*5*7\sqrt{5} =210\sqrt{5

3\sqrt{68600} = \sqrt{2^2*2*5^2*7^2*7} = 3*2*5*7\sqrt{14} =210\sqrt{14}

3\sqrt{3267}\sqrt{4400} = 3\sqrt{3^2*3*11^2}\sqrt{2^2*2^2*5^2~11} = 3*3*11\sqrt{3}*2*2*5\sqrt{11} =1980\sqrt{33}

\sqrt{1125} + \sqrt{2420} = \sqrt{3^2*5^2*5} + \sqrt{2^2*11^2*5} = 3*5\sqrt{5} + 2*11\sqrt{5} =15\sqrt{5} + 22\sqrt{5} = 37\sqrt{5}

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I need answers to this
ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x  - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x  - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

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3 years ago
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JulijaS [17]
You can first multiply your coefficients (7x9), which gives you 63. You can then simplify the exponents by using the rule that when two terms with the same variable are being multiplied, you can simplify by adding exponents. Since 7+3= 10, your simplified answer would be 63x^10 :) hope it helped!
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