Fill in the blank with one of the words or phrases listed below.

-If $\mathrm { a } ^ { 2 } = \mathrm { b }$, then $\mathrm { a } =ــــــــــ$
A) $\frac { - b } { 2 a }$
B) $( 0 , \mathrm { k } )$
C) $( h , 0 )$
D) $\pm \sqrt { b }$

Question

Fill in the blank with one of the words or phrases listed below.

-If $\mathrm { a } ^ { 2 } = \mathrm { b }$, then $\mathrm { a } =ــــــــــ$
A) $\frac { - b } { 2 a }$ 
B) $( 0 , \mathrm { k } )$ 
C) $( h , 0 )$ 
D) $\pm \sqrt { b }$

Quizplus · Accepted Answer

Given $a^2 = b$, solving for $a$ involves taking the square root of both sides, which yields $a = \pm \sqrt{b}$. This is because both the positive and negative square roots of $b$ will square to give $b$.

Fill in the Blank with One of the Words or Phrases