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How do you simplify #sqrt(75x) / sqrt(3x)#?

Answer 1

Emery Allen

#sqrt(75x)/sqrt(3x)=5#

#sqrt(75x)/sqrt(3x)#

= #sqrt((75x)/(3x))#

= #sqrt((3xx5xx5xx x)/(3xx x))#

= #sqrt(5xx5)#

= #5#

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Answer 2

Mila Anderson

To simplify the expression (\frac{\sqrt{75x}}{\sqrt{3x}}), you can rationalize the denominator by multiplying both the numerator and denominator by (\sqrt{3x}). This yields:

[\frac{\sqrt{75x} \times \sqrt{3x}}{\sqrt{3x} \times \sqrt{3x}}]

[= \frac{\sqrt{225x^2}}{3x}]

[= \frac{15x}{3x}]

[= \frac{15}{3}]

[= 5]

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Answer 3

Everly Taylor

To simplify sqrt(75x) / sqrt(3x), you can rewrite it as sqrt(25 * 3 * x) / sqrt(3x), then simplify the expression to get 5sqrt(3) / sqrt(3). Finally, rationalize the denominator to obtain 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.