Asked by nivetha duraisamy on May 17, 2024
Verified
Simplify the expression 3−87−123\sqrt { 3 } - 8 \sqrt { 7 } - 12 \sqrt { 3 }3−87−123 .
A) −113−7- 11 \sqrt { 3 } - \sqrt { 7 }−113−7
B) 113−8711 \sqrt { 3 } - 8 \sqrt { 7 }113−87
C) 3−87\sqrt { 3 } - 8 \sqrt { 7 }3−87
D) −113−87- 11 \sqrt { 3 } - 8 \sqrt { 7 }−113−87
E) −113+87- 11 \sqrt { 3 } + 8 \sqrt { 7 }−113+87
Square Root
A value that, when multiplied by itself, gives the original number, denoted as √.
- Apply simplification techniques to radical expressions that encompass square roots and higher-level roots.
Verified Answer
TG
Tavon GibbsMay 21, 2024
Final Answer :
D
Explanation :
Combine the like terms: 3\sqrt{3}3 and −123-12\sqrt{3}−123 to get −113- 11\sqrt{3}−113 and write the expression as −113−87-11\sqrt{3}-8\sqrt{7}−113−87 . This matches choice (D).
Learning Objectives
- Apply simplification techniques to radical expressions that encompass square roots and higher-level roots.
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