Square Root math help?

Question

If you have the Square Root of 2 and you multiply it by the Square Root of 2, what do you get?

I'm stuck between 2 x Square Root of 2, Square Root of 4, and Square Root of 2.

The book doesn't tell me how to multiply these very clearly. :(

Answer 1

Question 1
√2 x √2 = 2

Question 2
Not sure what you mean.
Will guess at:-
(2 √2) x √4 x √2
2 x (√2 x √2) x √4
2 x 2 x 2
8

Answer 2

2^1/2 (two raised to the power of a half root, or the square root) is 1.4142135623730950488016887242097. Let's call it 1.414. Two times that is 2.828. But 1.4142 times 1.4142 equals two.

To generalize: a number times the same number yields a result. The square root of that result is the number. The square root of 4 is 2, 2*2 = 4. The square root of 100 is 10; 10*10 = 100.

To put it another way:
2^1/2 * 2^1/2
when multiplying numbers with exponents the exponents add. So 1/2 + 1/2 = 1, thus giving 2^1. Anything to the first power is itself. If you take 2^1 * 2^1 and use the same exponent rule, you get 1 + 1 = 2, or 2^2 = 4. 2^1 * 2^2 has 1 + 2 = 3, or 2^3 = 8.

Does that help? Or confuse you further?

Answer 3

The square root of two multiplied by the square root of two is the same as the square root of four. The final answer would be two.

Answer 4

Alright, nice job so far. But remember our number 1 goal: isolate the variable. So, let's look at the first half of the equation. 49x^2 We can also write it like this: (49) x^2 Since it is now clear that x^2 is being multiplied by 49, to undo the multiplication, we need to divide both sides by 49: x^2= about 1.306... To be more accurate, though, we would write it like this: x^2=1 15/64 Now, all we need to do is isolate the variable (x) by finding its square root. And while we're at it, we'll do the same to the other side: x= about 1.14 Hope this helps!!!!!

Answer 5

if you times the square root of n by the square root of n then you get n
(n being one particular value)
for example: square root of 64 is 8. 8x8=64.

Answer 6

sqrt x ^2 = x
u can always use calculator to find the square root of 2 (1.4 soemthing) and multiply thme

Answer 7

sqrt2*sqrt2=sqrt(2*2)=sqrt(4)=2

2*sqrt2*sqrt4*sqrt2=2*sqrt 2*4*2=2*sqrt16=2*4=8
(Sorry if I misinterpreted, I thought that last square root of 2 was supposed to be in there as well)

Answer 8

sqrt(2)*sqrt(2)=2
2*sqrt = 2sqrt(2) we usually leave it like this
sqrt of 4 is positive and negative 2
sqrt of 2 is just sqrt(2)

Answer 9

id miss out that question if i were you, if the teacher hasnt explained it properly just ask them tomorrow, im sure they'll be happy to help