Math problem help!?

Question

i've been stressing out on this problem. i have to find the square root of 336
plz help me if u can!

Answer 1

I don't remember how to work it out. You should get something like 18.33.

Answer 2

I'm guessing that you know how to do the calculator work, but there are a couple of other kinds of problems that would make you have to break down the square root of a number like that, so I'll give it a different perspective.

Look at all the factors of 336

2 x 2 x 2 x 2 x 3 x 7 or 2^4 x 21

Having 2^4 under the square root sign, helps you see that you can take the square root of that factor which would be 2^2√21 or 4√21

Which might be what you were looking for in the first place

Answer 3

to simplify the square root, of 336 keep in mind this rule

sqrt(a) * sqrt(b) = sqrt(ab)

so first, find a the greatest square that can divide into 336. [squares are numbers such as 1, 4, 9, 16, 25 . . . OR 1^2, 2^2, 3^2, 4^2, 5^2. . . respectively]

We find that 16 divides in 336 evenly. 336/16 = 21, which cannot be simplified by another square number.

So we know; sqrt(16) * sqrt(21) = sqrt(336). [sqrt(16) = 4]

so the answer is 4 * sqrt(21) = sqrt(336)

Answer 4

If you use a calculator and type in 336 and then hit the square root button it will read 18.880302

However, if you need to learn how to do square root manually that is a different thing!

Here is a link that explains it quite nicely in case you are looking for the method.

Answer 5

336 factors to 2*2*2*2*3*7
What you want to do is factor the number like I did above then take out the numbers that are repeated. @ is repeated twice so you can take 2 out of the square root two times.

Root (336) = Root (4)*Root(4)*Root(3)*Root(7)
Root (336) = 2*2*Root(3)*(7)

so = 4*Root(21)

The answer is 4 times the square root of 21

Answer 6

Trial and error will result in finding out that it is more than 18 (^2=324) and less than 19 (^2=361), and closer to 18. So you try 18.3 (^2=333.89) and then 18.4 (^2=338.56). That means the answer is just a little closer to 18.3 than 18.4. So you try 18.34 (^2=336.3556). That's just a tad too big, so try 18.33 (^2=335.9889). That's as close as you're going to get with two decimal places in your answer. With a calculator, just type in 336 and press the square root key, and you get 18.330302.

Answer 7

Erm...

wel i typed th square root of 336 in2 my calculator and got 18.3303028, this is because 18.3303028 times by itself equals 336!

dont stress,

=]=]=]

Answer 8

Solve √336

First: express 336 in lowes terms.

√(2*2*2*2*3*7)

Sec: when a number has been repeated twice, place it (once) in front of the radical sign. If its repeated two more time, place it in front of the radical sign, again & so forth.

2(2)√3*7
4√21

P.S. The solution doesn't have to be in decimal form, unless your asked to do so.

Answer 9

336 = 16*(21)
= [4 sqrt(21)]^2
sqrt(336) = 4 sqrt(21)

Answer 10

sqrt(336) = sqrt(16*21) = 4sqrt(21)