Simplify square root of 1008 ( V` Represents the square root sign.)

1 answer:

5 0

So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
$\sqrt{xy}= \sqrt{x} \sqrt{y}$ so
$\sqrt{1008}= (\sqrt{2*2}) (\sqrt{2*2}) (\sqrt{3*3}) (\sqrt{7})$ =
2*2*3* $\sqrt{7}$ =
12√7

the answer is B

You might be interested in

Marcie bought a 50- foot roll of package tape. She used two 8 5/6foot lengths. How much tape is left in the roll

Yuliya22 [10]

50 feet - 8 5/6 =

First off, 8 5/6 feet = 8.83

Next, we can subtract. 50 - 8.83 = 41.17

Answer: 41.17

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to 1/4 x − 36?

White raven [17]

B because of you do 1/4 times -144 you will get 36 which is equivalent to 1/4x - 36

4 0

2 years ago

In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 34 inches along the

S_A_V [24]

We can solve this by using the P<span>ythagorean theorem which is below:

$a^2 + b^2 = c^2$

Or we can say
</span> $w^2 + h^2 = d^2$
<span>w = widht
h = height
d = diagonal measure

With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation

</span> $w^2 + h^2 = d^2$
$w^2 + (.75w)^2 = 34^2$
Now lets to the math
$w^2 + (.75w)^2 = 34^2$
$w^2 + (.75w)^2 = 1156$
$w^2 + .5625w^2 = 1156$
Combine like terms
$w^2 + .5625w^2 = 1156$
$1.5625w^2 = 1156$
Divide both sides of the equal sign by 1.5625
$\frac{1.5625w^2}{1.5625} = \frac{1156}{1.5625}$
$w^2 = 739.84$
Now take the square root on both sides of the equal sign
$\sqrt{w^2} = \sqrt{739.84}$
$w = 27.2$

So the width is 27.2
We can check this by putting 27.2 back into our original equation
$w^2 + (.75w)^2 = 34^2$
$27.2^2 + (.75\times 27.2)^2 = 34^2$

3 0

2 years ago

A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$