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How do you simplify #200/sqrt5#?

Answer 1

Genesis Allen

The result is #40sqrt5#.

Factor #200#, separate the fraction, then combine the exponents:

# color(blue)200/sqrt5 #

# color(blue)200/(5^(1/2)) #

# color(blue)200*1/(5^(1/2)) #

# color(blue)200*5^(-1/2) #

# color(blue)(40*5)*5^(-1/2) #

# color(blue)(40*5^1)*5^(-1/2) #

# color(blue)40*5^(1-1/2) #

# color(blue)40*5^(1/2) #

# color(blue)40*sqrt5 #

# color(blue)40sqrt5 #

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Answer 2

Eli Assouline

To simplify 200/sqrt5, you can multiply both the numerator and denominator by sqrt5. This will eliminate the square root in the denominator. The simplified form is (200 * sqrt5) / 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.