Question

Which number equals

Answer 1

\[\sqrt{1,792}\]

Answer 2

may be 42.33

Answer 3

What are your answer choices?

Answer 4

14

4 sqt 7

16 sqt 7

7 sqt 14

Answer 5

First, you have to break down the number in the radical to equal one perfect square and one non perfect square. What do you think they are?

Answer 6

i need help with it

Answer 7

I'll give you an example.

\[\sqrt{50}\] will equal to...
\[\sqrt{25 \times 2}\]
can also be written as...
\[\sqrt{25} \times \sqrt2\]
And finally, your answer will be...
\[5\sqrt2\]

Answer 8

Okay. Let's apply the elimination method first. Which of your choices you know cannot be the answer?

Answer 9

14

Answer 10

Correct.

Now we look at answer choices B, C and D. Of them, they have two different numbers in the radicals: 7 and 14.

Answer 11

7 sqt 14

Answer 12

Now, let's test each of the answers.

We start with 7.

1792/7 =?

Answer 13

256

Answer 14

yeah

Answer 15

Yes. Is 256 a perfect square? If it is, what is it's root?

Answer 16

the answer is 7 sqt 14

Answer 17

sqrt*

Answer 18

Hold on. now we're at...

\[\sqrt{7 \times 256}\]

What is \[\sqrt{256}\]?

Answer 19

I'll tell you this much, it's a perfect square.

Answer 20

and it's not D.