Rationalize the Denominator $\frac { \sqrt { 7 } } { \sqrt { 5 } + 3 }$

question 183

Multiple Choice

Rationalize the denominator. $\frac { \sqrt { 7 } } { \sqrt { 5 } + 3 }$

• A) \(- \frac { 3 \sqrt { 7 } - \sqrt { 35 } } { 4 }\)
• B) \(\frac { 3 \sqrt { 35 } - \sqrt { 7 } } { 4 }\)
• C) \(\frac { 3 \sqrt { 7 } - \sqrt { 35 } } { 4 }\)
• D) \(\frac { 3 \sqrt { 7 } + \sqrt { 35 } } { 4 }\)
• E) \(- \frac { 3 \sqrt { 7 } + \sqrt { 35 } } { 4 }\)

---

Definitions:

Sedimentary Rocks

Rocks created through the gathering or depositing of organic or mineral particles on the Earth's surface, which are then compacted and cemented together.

Volcanic Rocks

Igneous rocks that form from the cooling and solidification of magma or lava at the surface of the earth or within its atmosphere.

Continental Collision

A tectonic process whereby two continental plates collide, leading to the formation of mountains and mountain ranges.

Ocean-Continent Convergent Zone

A boundary between tectonic plates where an oceanic plate is subducting beneath a continental plate, often generating volcanic and seismic activity.