Asked by victoria mendoza on Jul 06, 2024
Verified
Multiply the expression by its conjugate and simplify. 14−10\sqrt { 14 } - 1014−10
A) -86
B) 186
C) 96
D) 1
E) 0
Conjugate
In mathematics, a conjugate refers to a component that is paired with another but differs in a certain way, such as the complex conjugate where the sign of the imaginary part is reversed.
- Familiarize oneself with the techniques of multiplying expressions and their conjugates and the resultant simplification of mathematical expressions.
Verified Answer
BT
Brandon TineoJul 07, 2024
Final Answer :
A
Explanation :
The conjugate of 14−10\sqrt{14} - 1014−10 is 14+10\sqrt{14} + 1014+10 . Multiplying the expression by its conjugate, we get (14−10)(14+10)(\sqrt{14} - 10)(\sqrt{14} + 10)(14−10)(14+10) , which simplifies to (14)2−(10)2=14−100=−86(\sqrt{14})^2 - (10)^2 = 14 - 100 = -86(14)2−(10)2=14−100=−86 .
Learning Objectives
- Familiarize oneself with the techniques of multiplying expressions and their conjugates and the resultant simplification of mathematical expressions.