Question

answer the easy question and get 49+25 points.

Answer 1

Good question....
this is the right process....
the answer is [2√545 + 12√7 - 2√668 - 12√6 - 2√1014 - 12√13] / 168
take 2 common and denominator becomes 84

Answer 2

Hey Mate !

Here is your solution :

= 1 ÷ ( √7 + √6 - √13 )

= 1 ÷ [ ( √7 + √6 ) - √13 ]

Multiplying in numerator and denominator by [ ( √7 + √6 ) + √13 ].


Numerator : 1 [ ( √7 + √6 ) + √13 ]

Denominator :

= [ ( √7 + √6 ) - √13 ] [ ( √7 + √6 ) + √13 ]

Using identity :

[ ( a + b ) ( a - b ) = a² - b² ]

= ( √7 + √6 )² - ( √13 )²

= ( √7 )² + ( √6 )² + ( 2 ×√7 × √6 ) - (√13 )²

= 7 + 6 +2 √42 - 13

= 13 - 13 + 2 √42

= 2√42

Fraction :

= ( √7 + √6 + √13 ) / 2√42

Multiplying in numerator and denominator by √42.

= √42 ( √7 + √6 + √13 ) / ( 2√42 × √42 )

Numerator :

= [ ( √( 42 × 7 ) + √( 42 × 6 ) + √( 13 × 42 ) ]

= [ 7 √6 + 6 √7 + √546 ]

Denominator :

= 2 √42 × √42

= 2 × 42

= 84

Fraction :

= ( 7 √6 + 6 √7 + √546 ) / 84

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Hope it helps !! ^_^