1958 AHSME Problems/Problem 5
Problem
The expression equals:
Solution
To make this problem easier to solve, lets get the radicals out of the denominator. For , we will multiply the numerator and denominator by so,
.
Now, the other fraction we need to get the radical out of the denominator is . Here, we will multiply by the conjugate again, . So that simplifies to
.
So now our simplified equation is
Bringing everything to the same denominator and combining like terms, we get
See also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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