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Ivenika [448]
3 years ago
10

Find an equivalent ratio to 6:8.

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

The Answer is 3/4

Hope this helped.

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Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
What is the best representation of 1 and 3/4?
Rzqust [24]

the best would be 1.75

Step-by-step explanation:

3/4 turned into a decimal is .75 then you would add the 1 making it 1.75.

5 0
3 years ago
Solve for x: 5 - (x + 5) &gt; -2(x + 4)
Sav [38]
There you go!!! Hope I helped :)

4 0
3 years ago
Julio says "If you subtract 13 from my number and multipy the difference by -3 the result is -45" what is Julio's number
ICE Princess25 [194]

Answer:28

Step-by-step explanation:

Julio's number is x

(X-13)*-3=-45

Divide by -3

X-13=15

Add13 to both sides

x=28

6 0
3 years ago
Which of the following describes bias that may arise from the results?
velikii [3]
Answer: I think A
Epian:
8 0
3 years ago
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