Tag: square root

Quizzes (1) Questions (82)

Questions Related to square root

Multiple choice maths square root square root of perfect square finding square root of a number square root of a perfect square

For what value of $\displaystyle x+\frac { 1 }{ 4 } \sqrt { x } +{ a }^{ 2 }$ will be perfect square -

  1. $\displaystyle \pm { 1 }/{ 18 }$
  2. $\displaystyle \pm { 1 }/{ 8 }$
  3. $\displaystyle \pm { 1 }/{ 5 }$
  4. $\displaystyle { 1 }/4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If $\displaystyle x+\frac { 1 }{ 4 } \sqrt { x } +{ a }^{ 2 }$ is a perfect square
then $\displaystyle \frac { 1 }{ 4 } \sqrt { x } =2\times \sqrt { x } \times \left( \pm a \right) $
$\displaystyle \therefore \quad a=\pm \frac { 1 }{ 8 } $