1/ 4√3 - 3√5
Find to three places to decimal the value of each of the following
Answers
Answered by
12
Answer:
Solution is 4.5453 (apprx )
Step-by-step explanation:
1 / ( 4√3 - 3√5 )
( Rationalizing the denominator )
{ 1 / ( 4√3 - 3√5 ) } x ( 4√3 + 3√5 ) / ( 4√3 + 3√5 )
= ( 4√3 + 3√5 ) / { ( 4√3 )^2 - ( 3√5 ) ^2 }
= ( 4√3 + 3√5 ) / ( 48 - 45 )
= ( 4 x 1.732 + 3 x 2.236 ) / 3
= ( 6.928 + 6.708 ) / 3
= 13.636 / 3
=4.5453 (apprx )
Answered by
1
Answer:
Solution is 4.5453 (apprx )
Step-by-step explanation:
1 / ( 4√3 - 3√5 )
( Rationalizing the denominator )
{ 1 / ( 4√3 - 3√5 ) } x ( 4√3 + 3√5 ) / ( 4√3 + 3√5 )
= ( 4√3 + 3√5 ) / { ( 4√3 )^2 - ( 3√5 ) ^2 }
= ( 4√3 + 3√5 ) / ( 48 - 45 )
= ( 4 x 1.732 + 3 x 2.236 ) / 3
= ( 6.928 + 6.708 ) / 3
= 13.636 / 3
4.5453 (apprx )
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