Question

how would you solve (squareroot363) (squareroot300)

Answer 1

Well, we know couple rules:
\(\sqrt{a^2b}=a\sqrt{b}\)
\(\sqrt{a}\sqrt{b}=\sqrt{ab}\)
So let us take a look, we have this expression:
\[\sqrt{363}\sqrt{300}\]
I will simplify this to
\[a\sqrt{300}\]
Let us take a closer look at \(\sqrt{363}\), can we factor anything out of it to break it up into \(\sqrt{a\times\frac{363}{a}}\) ?

Answer 2

Think: (lets start at 2, not 1, lol)
Can 2 go into it? can 3 go into it? can 4 go into it? Tell me what you see :). When you get to a whole number which divides into 363 and leaves a whole number, let me know :)

Answer 3

three goes into it

Answer 4

Try it out!
\[\frac{363}{2}=181.5\]
That's not a whole number.
Try \(\frac{363}{3}\) Is that a whole number?

Answer 5

EXACTLY! So we can simplify \(\sqrt{363}\) to \(\sqrt{3\times\frac{363}{3}}=\sqrt{3\times121}=\sqrt{3}\sqrt{121}\)
Notice what happens when you punch in \(\sqrt{121}\) Into a calculator

Answer 6

11

Answer 7

Right.
So we can establish:
\[\sqrt{363}=\sqrt{3}\sqrt{121}=11\sqrt{3}\]
Make sense?

Answer 8

yeah thanks

Answer 9

Try doing the same thing to \(\sqrt{100}\) You cool?

Answer 10

tis 300

Answer 11

Ehh what is?

Answer 12

\[\sqrt{300}\sqrt{363}\neq300\]

Answer 13

sqrt(300) = sqrt(100 * 3) = sqrt(100) * sqrt(3) = 10 sqrt(3)

Answer 14

so, (squareroot363) (squareroot300)
= 11 sqrt(3) * 10sqrt3)
= 110 * sqrt(3) * sqrt(3)
= 110 * 3
= 330

Answer 15

Thanks

Answer 16

Haha @RadEn ...Was trying not to throw the answer away but w/e lol

Answer 17

hehe, just smack down this problem :)

Answer 18

I would say ;)