SOLUTION: hello, can someone please help me out? I need to divide the following fraction: sqrt(20)+sqrt(5)/sqrt(10). thank you!

Algebra ->  Radicals -> SOLUTION: hello, can someone please help me out? I need to divide the following fraction: sqrt(20)+sqrt(5)/sqrt(10). thank you!      Log On


   

Question 756370: hello, can someone please help me out? I need to divide the following fraction: sqrt(20)+sqrt(5)/sqrt(10). thank you!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+sqrt%2820%29+%2B+sqrt%285%29+%29+%2F+sqrt%2810%29+
+%28+sqrt%284%2A5%29+%2B+sqrt%285%29+%29+%2F+sqrt%282%2A5%29+
+%28+sqrt%284%29%2Asqrt%285%29+%2B+sqrt%285%29+%29+%2F+%28+sqrt%282%29%2Asqrt%285%29+%29+
+sqrt%285%29+%2A+%28+sqrt%284%29+%2B+1+%29+%2F+%28+sqrt%28+5+%29+%2A+sqrt%28+2+%29%29+
Divide top and bottom by +sqrt%285%29+
+%28+2+%2B+1+%29+%2F+sqrt%282%29+
+3+%2F+sqrt%282%29+
Multiply top and bottom by +sqrt%282%29+
+%28+3%2Asqrt%282%29+%29+%2F+2+
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You can actually check this with a calculator:

++%28+4.4721+%2B+2.2361+%29+%2F+3.1623+=+6.7082+%2F+3.1623+
+6.7082+%2F+3.1623+=+2.1213+
and
+%28+3%2Asqrt%282%29+%29+%2F+2+=+%28+3%2A1.4142+%29+%2F+2+
+4.2426+%2F+2+=+2.1213+
OK