Math, asked by sumanlibrarian786, 1 year ago

Under root 3 + root 5 by 3 minus root 5 is under root 5 is equal to 2.236

SmãrtyMohït: \frac{ \sqrt{3 } + \sqrt{5} }{3 - \sqrt{5} } = \sqrt{5} \\ \\ \frac{ \sqrt{3 } + \sqrt{5} }{3 - \sqrt{5} } \times \frac{ \sqrt{3 } + \sqrt{5} }{3 - \sqrt{5} } \\ \\ \frac{( \sqrt{3 } + \sqrt{5}) {}^{2} }{3 {}^{2} - (\sqrt{5} ) {}^{2} } \\ \\ \frac{3 + 5 + 2 \sqrt{15} }{9 - 5} \\ \\ \frac{8 + 2 \sqrt{15} }{4} \\ \\ \frac{2(4 + \sqrt{15} )}{4}

Answers

Answered by krishnanarayan07103

Answer:

Your correct answer is 4 .

Step-by-step explanation:

We know the identity :

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

( 3 + √5 ) ( 3 - √5 )

$( {3}^{2} - (\sqrt{5}) ^{2} = 9 - 5 = 4$

Hence, ( 3 + √5 ) ( 3 - √5) = 4,

which is a rational number.

Answered by nikithatejakiran

Answer:

a2-b2= (a+b) (a-b)

Step-by-step explanation:

so the answer is 4

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