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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 $81\times {10}^{-4}$

$\sqrt { 81\times { 10 }^{ -4 } } =\sqrt { 81 } \times \sqrt { { 10 }^{ -4 } } =9\times { \left( { 10 }^{ -4 } \right)  }^{ \frac { 1 }{ 2 }  }=9\times { 10 }^{ -2 }=0.09$
Multiple choice maths square root square root of perfect square finding square root of a number square root of a perfect square

Subtracting which odd number will get the value of 288 for the square root of the number 484 using repeated subtraction method?

  1. 25

  2. 23

  3. 27

  4. 29
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Repeated subtraction method: Subtract successive odd numbers from the given number starting from 1 till the difference becomes zero.
So, 484 - 1 = 483
483 - 3 = 480
480 - 5 = 475
475 - 7 = 468
468 - 9 = 459
459 - 11 = 448
448 - 13 = 435
435 - 15 = 420
420 - 17 = 403
403 - 19 = 384
384 - 21 = 363
363 - 23 = 340
340 - 25 = 315
315 - 27 = 288 
27 is the odd number, subtracting with 315 to get the value of 288.