SOLUTION: 1/ Square root of 5 minus the square root of 2

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Question 106890: 1/ Square root of 5 minus the square root of 2
Answer by MathLover1(20850) About Me  (Show Source):
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1/ Square root of 5 minus the square root of 2
if we have:
1%2Fsqrt%285%29+– sqrt%282%29%29 multiply both terms by sqrt%285%29
1+– sqrt%282%29sqrt%285%29
Since a+=+2 and b+=+5 both are positive real numbers, we can use the following are some property of square root function.
sqrt%28a%29sqrt%28b%29+=+sqrt%28ab%29
or
sqrt%282%29sqrt%285+%29+=+sqrt%2810%29
Then we have
1+– sqrt%282%29sqrt%285%29 = 1+– sqrt%2810%29 = 1+-+1.78 = -.78


2.
in case you mean:
1%2F%28sqrt%285%29+-+sqrt%282%29%29+=+1%2F%282.24-+1.19%29+=+1%2F1.05+=+0.95