Question

A decimal number is multiplied by itself. If the product is 51.84, find the number.

Answer 1

Let the number be x.

Then, product = x × x = x²

But product = 51.84   ...[Given]

∴ x² = 51.84

⇒ x = `sqrt(51.84)`

Now, place the bar over the numbers, then square root is given below.

∴ x = `sqrt(51.84)` = 7.2

	7.2
7	`bar51. bar84`
	49
142	284
	284
	0

Hence, the required number is 7.2