Questions: Simplify the following expression. (sqrt(11) * sqrt(50)) / sqrt(2) = Enter your answer
Transcript text: Simplify the following expression. $\frac{\sqrt{11} \cdot \sqrt{50}}{\sqrt{2}}=$ Enter your answer
Solution
Solution Steps
To simplify the given expression 211⋅50, we can use the properties of radicals. First, we combine the radicals in the numerator and then simplify the resulting expression. Finally, we rationalize the denominator if necessary.
Step 1: Combine the Radicals in the Numerator
We start by combining the radicals in the numerator:
11⋅50=11⋅50=550
Step 2: Simplify the Expression
Next, we simplify the given expression:
2550=2550=275
Step 3: Rationalize the Denominator
Since the denominator is already rationalized, we do not need to perform any additional steps. The simplified expression is:
275
Step 4: Calculate the Numerical Value
We calculate the numerical value of 275:
275≈16.5831