Math, asked by chaituchaithra36, 3 days ago

Rationalise1/3+√2 answer ​

Answers

Answered by 5558
1

Answer:

according to me the answer is

 \frac{3 -  \sqrt{2} }{7}

Step-by-step explanation:

given

 \frac{1}{3 +  \sqrt{2} }

multiplying numinator and denominator by

3 -  \sqrt{2}

therefore

 \frac{1}{3 +  \sqrt{2} }  \times  \frac{3 -  \sqrt{2} }{3 -  \sqrt{2} }

 = \frac{1(3 -  \sqrt{2 )} }{(3 +  \sqrt{2)(3 -  \sqrt{2)} } }

 = \frac{3 -  \sqrt{2} }{ {3}^{2} -  { (\sqrt{2} )}^{2}  }

 = \frac{3 -  \sqrt{2} }{9 - 2}

 =  \frac{3 -  \sqrt{2} }{7}

HOPE THIS WILL HELP YOU

Answered by nirmayhk1
0

Answer:

3-√2/7

Step-by-step explanation:

1/3+√2*3-√2/3-√2

3-√2/(3-√2)^2

3-√2/9-2

3-√2/7

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