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What is the simplest form of the radical expression?
2√+5√/2√−5√
To simplify the given radical expression, we need to combine the like terms.
First, let's combine the like terms in the numerator:
2√ + 5√ = (2 + 5)√ = 7√
Next, let's combine the like terms in the denominator:
2√ - 5√ = (2 - 5)√ = -3√
Now, the expression becomes:
7√ / -3√
To simplify this further, we can divide both the numerator and denominator by √:
(7√ / -3√) * (√ / √) = (7√ * √) / (-3√ * √) = (7√²) / (-3√²) = 7(-3) / -3 = 21 / -3 = -7
Therefore, the simplest form of the radical expression 2√ + 5√ / 2√ - 5√ is -7.