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What is the simplest form of the radical expression?

What is the simplest form of the radical expression?-example-1

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Answer:

- (7 + √10) / 3.

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.

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