Rationalize the Denominator and Simplify $\frac { \sqrt { 2 } - 7 } { \sqrt { 7 } - 10 }$

question 16

Multiple Choice

Rationalize the denominator and simplify.
- $\frac { \sqrt { 2 } - 7 } { \sqrt { 7 } - 10 }$

• A) \(\frac { \sqrt { 14 } + 70 - 7 \sqrt { 7 } - 10 \sqrt { 2 } } { - 93 }\)
• B) \(\frac { \sqrt { 14 } - 70 - 7 \sqrt { 7 } + 10 \sqrt { 2 } } { 107 }\)
• C) \(\frac { \sqrt { 14 } - 70 - 7 \sqrt { 7 } + 10 \sqrt { 2 } } { - 93 }\)
• D) \(\frac { \sqrt { 14 } + 70 - 7 \sqrt { 7 } - 10 \sqrt { 2 } } { 107 }\)

Recognize and describe the three types of population dispersion, and under what conditions each occurs.

Evaluate the benefits and risks of biological control as an alternative to chemical pesticides.

Apply the mark-recapture method to estimate population sizes.

Analyze the effects of environmental conditions on population dynamics.

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Definitions:

Toe Wrestling

A competition where two opponents lock feet and strive to pin each other's foot down.

Bog Snorkeling

A competitive sport where participants race through a water-filled trench cut through a peat bog, using snorkels and flippers but without conventional swimming strokes.

Worm Charming

An activity or competition where participants attempt to entice worms out of the ground without digging or harming them.

Pronoun

A word used in place of a noun to avoid repetition and indicate possession, gender, or number.