SOLUTION: hi!! please help me i already answered it but I'm just checking if my answer is correct because I'm not sure of my answers. hope you can help me. ( rationalizing denomi

Algebra ->  Radicals -> SOLUTION: hi!! please help me i already answered it but I'm just checking if my answer is correct because I'm not sure of my answers. hope you can help me. ( rationalizing denomi      Log On


   

Question 651434: hi!! please help me i already answered it but I'm just checking if my answer is correct because I'm not sure of my answers. hope you can help me.
( rationalizing denominator)
1) 7 – 3/ √7 + 2
2) 2√3/ 2√3 - 3√2
3) 2√2 - 3√7/ 3√2 +2√7
3) 5√3 -4√5/ 2√5 +3√3
4) √a + √b/ √a -√b
please show the solution!1 thanks :))

Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1)7-3%2Fsqrt%287%29%2B2
=9-3%2F2.646
=9-1.134
=7.866


2) 2sqrt%283%29%2F+sqrt%283%29+-+3sqrt%282%29
=2cross%28sqrt%283%29%29%2F+cross%28sqrt%283%29%29+-+3sqrt%282%29
=2+-+3%281.41%29
=2-4.23
=-2.23


3) 2sqrt%282%29+-+3sqrt%287%29%2F3sqrt%282%29+%2B2sqrt%287%29
2%281.41%29+-+3%282.646%29%2F3%281.41%29+%2B2%282.646%29
2%281.41%29+-+cross%283%29%282.646%29%2Fcross%283%29%281.41%29+%2B2%282.646%29
2%281.41%29+-+2.646%2F1.41+%2B2%282.646%29
2.82+-1.876+%2B5.292
0.944%2B5.292
6.236

6.236


3) 5sqrt%283%29+-4sqrt%285%29%2F+2sqrt%285%29+%2B3sqrt%283%29
5%281.73%29+-cross%284%292%282.236%29%2F+cross%282%29%282.236%29+%2B3%281.73%29
8.65+-4.472%2F%282.236%29+%2B5.199
13.849+-2
11.85+


4) sqrt%28a%29+%2B+sqrt%28b%29%2F+sqrt%28a%29+-sqrt%28b%29...in case you have this

%28sqrt%28a%29%2Asqrt%28a%29+%2B+sqrt%28b%29+-sqrt%28b%29%2Asqrt%28a%29%29%2Fsqrt%28a%29

%28a+%2B+sqrt%28b%29+-sqrt%28ab%29%29%2Fsqrt%28a%29
but, ...in case you have this
%28sqrt%28a%29+%2B+sqrt%28b%29%29%2F+%28sqrt%28a%29+-sqrt%28b%29%29





%28sqrt%28a%29+%2B+sqrt%28b%29%29%5E2%2F+%28a+-b%29%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1) 7 – 3/ √7 + 2
7+-+3%2Fsqrt%287%29+%2B+2
= 9+-+3%2Fsqrt%287%29
= 9+-+3sqrt%287%29%2F7
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