Question

Simplify{ \sqrt{10} } " alt=" \frac{5}{ \sqrt{10} } " align="absmiddle" class="latex-formula">

Answer 1

Answer:

C (√10)/2

Step-by-step explanation:

Multiply numerator and denominator by √10. Then you have ...

... (5√10)/10 = (√10)/2

_____

Of course, you can always compare the given answers by using your calculator.

5/√10 ≈ 1.58114

The answer choices are ...

... A: 1.41421

... B: 2.23607

... C: 1.58114 . . . . matches the given expression in value

... D: 0.707107

_____

If you're familiar with the square roots of small integers, you can do this last exercise in your head once you have calculated 5/√10. That is, you can eliminate choices A, B, and D.

... √2 ≈ 1.414; √3 ≈ 1.732; √5 ≈ 2.236