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Amiraneli [1.4K]
3 years ago
14

Is the problem I showed congruent

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

it is very congruent of you k

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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 volume of this rectangular prism?
Anton [14]

Answer:

15.625

Step-by-step explanation:

V=wxhxl=2.5x2.5x2.5=15.625

7 0
3 years ago
Given: △ACD, m∠BCA = 60° CB ⊥ AD , m∠BDC = 45° AC = 10 cm. Find: BC and DC
neonofarm [45]

Answer:

See if this will help,

https://www.pmschools.org/site/handlers/filedownload.ashx?moduleinstanceid=701&dataid=3612&FileName=2015%20triangle%20proofs%20answers.pdf



8 0
3 years ago
La funcion que representa el beneficio obtenido por una empresa si vende x unidades de uno de sus productos es f(x)= -70x^2+2800
DerKrebs [107]

Answer:

20

Step-by-step explanation:

La función es

f(x)=-70x^2+2800x-45000

Diferenciando con respecto a x obtenemos

f'(x)=-140x+2800

Igualar con cero

0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20

Doble derivada de la función

f''(x)=-140

Entonces, la función es máxima cuando el número de unidades vendidas,  x=20,

3 0
3 years ago
Let f(x) = (x+3) (x+1)^n ( x+2) ² what is the multiplicity of the zero of f at x=2? ​
nekit [7.7K]

Answer:

is c

Step-by-step explanation:

6 0
3 years ago
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