Final answer:
To simplify the expression √34/√2, multiply the numerator and denominator together, simplify the square roots, and divide.
Step-by-step explanation:
To simplify the expression √34/√2, we can combine the square roots by multiplying the numerator and denominator together.
√34/√2 = (√34)(√2)/(√2)(√2) = √(34*2)/√(2*2) = √68/√4
Next, we simplify the individual square roots:
√68 = √(4*17) = √4 * √17 = 2√17
√4 = 2.
Therefore, the simplified expression is 2√17/2 = √17.