What is the simplest form of the radical expression?
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Answer:
- (7 + √10) / 3.
Step-by-step explanation:
You simplify this by multiplying the numerator and denominator by the conjugate of the denominator which, in this case, is √2 + √5.
(√2 + √5)(√2 + √5) 2 + 2√10 + 5 7 + 2√10
---------------------------- = ------------------- = -------------
(√2 - √5)(√2 + √5) 2 - 5 -3
Answer is - (7 + √10) / 3.