can anyone tell me the ans for this question plzz fast
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Here is the answer check it
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the ans in the worksheet is 1-2root30
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Hi ,
1 ) 7√3/( √10 + √3 )
= [ 7√3 ( √10 - √3 )/[(√10+√3)(√10-√3)]
= [7√3(√10-√3)]/(10 - 3)
= [7√3(√10-√3)]/7
= √3(√10 - √3)
= √30 - 3 ------( 1 )
2 ) 2√5/( √6 + √5 )
= [ 2√5(√6-√5)]/[(√6+√5)(√6-√5)]
= [2√5(√6-√5)]
= 2√30 - 10 -----( 2 )
3 ) 3√2/( √15 + 3√2 )
=[ 3√2(√15-3√2)]/[(√15+3√2)(√15-3√2)]
= [ 3√2(√15-3√2)]/[15 - 18 ]
= [ 3√2 ( √15 - 3√2 )] / ( -3 )
= -√2( √15 - 3√2 )
= - √30 + 6 ---- ( 3 )
Now , according to the problem given ,
( 1 ) - ( 2 ) - ( 3 )
= √30 - 3 - ( 2√30 - 10 ) - ( - √30 + 6 )
= √30 - 3 - 2√30 + 10 + √30 - 6
= 10 - 9
= 1
I hope this helps you.
:)
1 ) 7√3/( √10 + √3 )
= [ 7√3 ( √10 - √3 )/[(√10+√3)(√10-√3)]
= [7√3(√10-√3)]/(10 - 3)
= [7√3(√10-√3)]/7
= √3(√10 - √3)
= √30 - 3 ------( 1 )
2 ) 2√5/( √6 + √5 )
= [ 2√5(√6-√5)]/[(√6+√5)(√6-√5)]
= [2√5(√6-√5)]
= 2√30 - 10 -----( 2 )
3 ) 3√2/( √15 + 3√2 )
=[ 3√2(√15-3√2)]/[(√15+3√2)(√15-3√2)]
= [ 3√2(√15-3√2)]/[15 - 18 ]
= [ 3√2 ( √15 - 3√2 )] / ( -3 )
= -√2( √15 - 3√2 )
= - √30 + 6 ---- ( 3 )
Now , according to the problem given ,
( 1 ) - ( 2 ) - ( 3 )
= √30 - 3 - ( 2√30 - 10 ) - ( - √30 + 6 )
= √30 - 3 - 2√30 + 10 + √30 - 6
= 10 - 9
= 1
I hope this helps you.
:)
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