Tag: square root

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

If it is possible to form a number with the second, the fifth and the eighth digits of the number 31549786, which is the perfect square of a two digit even number, which of the following will be the second digit of that even number?

  1. 1

  2. 4

  3. 6

  4. No such number can be formed

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The 2nd , 5th and 8th digit of the number 31549786 are 196 respectively.
196 is a perfect square of 14. 
Therefore, the even number required is 14.
Second digit of that number is 4.
Answer is 4

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

If the sum $S$ of three consecutive even numbers is a perfect square between $200\;and\;400$, then the square root of $S$ is

  1. $15$
  2. $16$
  3. $18$
  4. $19$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$15^2=225,\;16^2=256$
$17^2=281\;18^2=324$
$19^2=361$
$\;2x-2+2x+2x+2=6(x)$
$\Rightarrow6x=324$ is possible
$\Rightarrow\sqrt{324}=18$

Therefore,square root of $S$ is $18$

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

Find the length of the side of a square whose area is 441 $ \displaystyle m^{2} $.

  1. $19 $ m
  2. $21 $ m
  3. $23 $ m
  4. $29 $ m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given the area of the square is $441\ m^2$ .

We know the area of the square is side$^{ 2 }$
So, the square root of side is $\sqrt { 441 } =\sqrt{3\times\ 3\times 7\times 7}=3\times 7=21$.
The side of the square is $21$ m.