Question

Jenny and her friends picked out some paper chits from a glass bowl. Each of these chits had some numbers on them.
Jenny's chit had the number 16.
Kaira's chit had a number that was the square root of the number on Jenny's chit.
Also, Sia's chit had a number that was the square root of the number on Kaira's chit.

Which of the following numbers appeared on Sia's chit?

• A. 2
• B. 8
• C. 32
• D. 4

Answer 1

The correct option is A 2

We know that the square of a number is obtained when a number is multiplied by itself.

For example:
Square of 3 = 3 × 3 = 9

For a square root, we have to find a number which, on being multiplied by itself, amounts to the given number.

From the same example, the square $\text{root of 9}=\sqrt{9}=3$

The number on Jenny's chit = 16

The number on Kaira's chit = Square root of the number on Jenny's chit
$=\sqrt{16}$
= 4

Since 4 × 4 = 16, the square root of 16 will be 4.

The number on Sia's chit = Square root of a number on Kaira's chit
$=\sqrt{4}$
= 2

Since 2 × 2 = 4, the square root of 4 will be 2.

Therefore, Sia picked a chit with the number 2.