Math, asked by aamolia1969, 10 months ago

Rationalize the denominator and simplify to find the value
of : 4/√5+√3
Given that √5=2.236 and √3=1.732.​

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Answers

Answered by saritashuklacds
40

Here u go ♥️♥️

Refer the attachment.

Hope it helps u............

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Answered by harendrachoubay
25

The value of \dfrac{4}{\sqrt{5}+\sqrt{3}} = 1.008

Step-by-step explanation:

We have,

\dfrac{4}{\sqrt{5}+\sqrt{3}}

To find, the value of \dfrac{4}{\sqrt{5}+\sqrt{3}} = ?

\dfrac{4}{\sqrt{5}+\sqrt{3}}

Rationalizing the denominator, we get

=\dfrac{4}{\sqrt{5}+\sqrt{3}}\times \dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{5}-\sqrt{3}}

=\dfrac{4(\sqrt{5}-\sqrt{3})}{\sqrt{5}^2-\sqrt{3}^2}

Using the algebraic identity,

a^{2} -b^{2} =(a+b)(a-b)

=\dfrac{4(\sqrt{5}-\sqrt{3})}{5-3}

=\dfrac{4(\sqrt{5}-\sqrt{3})}{2}

= 2(\sqrt{5}-\sqrt{3})

Given by question,

\sqrt{5} = 2.236 and \sqrt{3} = 1.732

= 2(2.236 - 1.732)

= 2(0.504)

= 1.008

∴ The value of \dfrac{4}{\sqrt{5}+\sqrt{3}} = 1.008

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