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AnnZ [28]
11 months ago
15

Simplify. 8√2 / 6-3√8

Mathematics
1 answer:
Sonbull [250]11 months ago
8 0

 The rationalized expression in general term is given by: (-8 -4√2) / 3

<h3>What is rationalization?</h3>

  Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.

  As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.

(8√2 / 6-3√8 ) Multiply by  ( 6+3√8)/( 6+3√8)

(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)

8√2(6+3√8) / (6-3√8)²  Expand the denominator using the FOIL method.

8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)

8√2(6+3√8) / -36

48√2 + 24√2√8 / -36  ::::.   √8 = 2√2

48√2 + 96 / -36

-12(4√2 + 8) / 12x3

(-8 -4√2) / 3 is the result.

Learn more about rationalization in:

brainly.com/question/14261303

#SPJ4

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Fed [463]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Help me out please??????
Jobisdone [24]

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sorry dont know just did this to get 5 pionts :)

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4 0
2 years ago
If u answer ill give brainlist
makkiz [27]

Answer:

120; 643 units squared

Step-by-step explanation:

Perimeter: Add all the sides, so 120 units

_________________________________

Area: First multiply 19 by 24 for the first shape within this other shape, so That equals 456 units squared. Since we know that one whole side is 36 we can subtract 19 from it to get the lower side of the smaller shape and then multiply that by 11. So the smaller side ends up being 17. So 17 times 11 equals: 187 units squared. Then just add the areas together 187+456=643 units squared.

3 0
2 years ago
A student of the author earned grades of 92, 83, 77, 84, and 82 on herfive regular tests. She earned grades of 88 on the final e
goblinko [34]

The class is weighted as follows:

60% Regular Tests

10% Final Exam

15% Project

15% Homework

The total weighted points possible for the class are as follows:

(100+100+100+100+100)*.6 + 100*.1 + 100*.15 + 100*.15 = 340

To calculate her individual final weighted grade we plug in her scores for each category and complete the following computation:

(92+83+77+84+82)*.6 + 88*.1 + 95*.15 + 77*.15 = 285.4

So her weighted grade percent would be 285.4/340 = 83.9% which is a B.

8 0
3 years ago
Is it true or false that 16.371 rounded to the nearest whole number 16 feet per second
rusak2 [61]

Answer:

true

Step-by-step explanation:

To round off a number to its nearest whole number, look at the first number after the decimal point. If the number is equal or greater than 5, add 1 to the number before the decimal point. If it is  less than 5, add zero.

Because the first number after the decimal point is 3, which is less than 5, add zero to 16 . 16 + 0 = 16

If the number were 16.571, rounding off to the nearest whole number would give 17

4 0
3 years ago
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