answer the easy question and get 49+25 points.
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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
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
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teyac:
is that guys answer correct
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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
=================================
Hope it helps !! ^_^
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
=================================
Hope it helps !! ^_^
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