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mel-nik [20]
3 years ago
12

Rationalise the denominator of: -7/(√11 - √5)​

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

\sf \underline{ \red{Solution - }} \\

Given,

\sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\

The denominator is √11 - √5.

We know that

Rationalising factor of √a-√b is √a+√b.

Therefore, the rationalising factor of √11-√5 is √11+√5.

On rationalising the denominator them

\longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\

Multiplying (√11 + √5) with both the numerator of the fraction.

\longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\

Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.

\longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\

Writing the squares of the numbers in the denominator.

\longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\

Performing subtraction in the denominator.

\longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\

Hence, the denominator is rationalised.

tatuchka [14]3 years ago
3 0
-7(sqrt(11)+sqrt(5))/6


Mark brainliest please



Hope this helps
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All real numbers from 10 to 30, inclusive

 

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I cannot figure out why the choices are far from the answer.

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<h3>Answer:</h3>
  1. C. (9x -1)(x +4) = 9x² +35x -4
  2. B. 480
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Step-by-step explanation:

1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.

2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...

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... 2d = 960 . . . . . . . subtract 43

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The second voyage lasted 480 days.

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What is the slope of the line passing through the points (1, 2) and (5, 4)?​
bulgar [2K]
<h2>SOLVING</h2>

\Large\maltese\underline{\textsf{A. What is Asked}}

What is the slope of the line passing through the point (1,2) and (5,4)

\Large\maltese\underline{\textsf{This problem has been solved!}}

Formula used, here  \bf{\dfrac{y2-y1}{x2-x1}

_______________________________________________________

\bf{\dfrac{4-2}{5-1} | simplify

\bf{\dfrac{2}{4} | reduce

\bf{\dfrac{1}{2}

\rule{300}{1.7}

\bf{Result:}

         \bf{=Slope:\dfrac{1}{2}

\boxed{\bf{aesthetic\not101}}

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