Question

Co

Select the correct answer.
What is √68in simplest form?
OA. 8√4
OB. 17√2
OC. 4√17
O D. 2√17

Answer 1

Hi, there!

_______

`\begin{tabular}c\boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}`

1. Does 68 have any perfect squares inside it? If so, what are they?

(1)

68 can be written as:

`\bold{4*17}`

Thus,

`\bold{√(68)=√(4*17)}`

Now, what did we do that for?

We don't know the square root of 17, but the square root of 4 we know!

Thus,

`\bold{2√(17)}`

Out of the four options, we choose

◉ D.

Hope the answer - and explanation - made sense to you,

happy studying!!

`\small\boldsymbol{Frozen \ melody}`

Answer 2

D. 2√17

Explanation:

Let's find the prime factors of 68.

68 is even, so it's divisible by 2.

68/2 = 34

34 is even, so it's divisible by 2.

34/2 = 17

17 is prime.

68 = 2 × 2 × 17 = 2² × 17

√68 = √(2² × 17) = √(2²) × √17 = 2 × √17 = 2√17

Answer: D. 2√17