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

Simplify the expression involving rational exponents:
${ \left( \displaystyle\frac { 25 }{ 64 }  \right)  }^{ { 1 }/{ 2 } }$

  1. $\displaystyle\frac { 25 }{ 8 } $

  2. Not a real number
  3. $\displaystyle\frac { 5 }{ 8 } $
  4. $\displaystyle\frac { 5 }{ 64 } $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\left(\dfrac{25}{64}\right)^\frac{1}{2}$ = $\left(\dfrac{5^2}{8^2}\right)^\frac{1}{2}$ = $\dfrac{5}{8}$

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

Complete the repeated subtraction to find the square root of $225$.

  1. $9$
  2. $45$
  3. $25$
  4. $15$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$225 -1 = 224$ ,

$224 -3 = 221 $,
$221-  5 = 216$, 
$216 -7 = 209$,
$209 - 9= 200$ ,
$200 -11 = 189$
$189-  13 = 176$ , 
$176-  15 = 161$, 
$161 -17 = 144$,
$144- 19 = 125$
$125 - 21 = 104 $
$ 104-  23 = 81 $
$81-  25 = 56$
$ 56-  27 = 29$, 
$29 -29 = 0 = 15$ 
Therefore, D is the correct answer.

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

Simplify the following : $\sqrt { 0.0081 } $

  1. $0.02$
  2. $0.09$
  3. $0.06$
  4. $0.05$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
$0.09$: Since $(0.09)(0.09)=0.0081$, 

$\sqrt{0.0081}=0.09$. 

You can also rewrite $0.0081$ as $81\times {10}^{-4}$

$\sqrt { 81\times { 10 }^{ -4 } } =\sqrt { 81 } \times \sqrt { { 10 }^{ -4 } } =9\times { \left( { 10 }^{ -4 } \right)  }^{ \frac { 1 }{ 2 }  }=9\times { 10 }^{ -2 }=0.09$