What values of a and b make the equation true? √648 = √2a.3b

Option (c) is correct.

a = 3 and b = 4

Step-by-step explanation:

Given :  

We have to find the values of a and b and choose the correct options from the given options.

Consider

We first factorize 648 that is writing 648  as products of its prime factors.

648  can be written as 8 × 81

breaking 8 as product of 2 and 81 as product of 3.

We get,

Also,

Thus, a = 3 and b = 4

Option (c) is correct.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !