Math, asked by guptashekhar217, 11 months ago

√2/√6-√2-√3√6+√2 simplify​

Answers

Answered by DSamrat
9

Answer:

( 1 - 3√6)/√3 or 1/√3 - 3√2

Step-by-step explanation:

√2/√6-√2-√3√6+√2

= √2/(√2.√3) - √2 - √3.√2.√3 + √2

= 1/√3 - √2 - √3.√2.√3 + √2

= (1 - √2.√3- √3.√2.√3.√3 + √2.√3)/√3

= ( 1 - √6 - 3.√6 + √6)/√3

= ( 1 - 3√6)/√3

= 1/√3 - 3√2

So, √2/√6-√2-√3√6+√2 simplifies to

( 1 - 3√6)/√3 or 1/√3 - 3√2

or (3 - 92)/3

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