Is Square root of x times the square root of x just x or 2square root of x?

Question

Or am I even close?

Answer 1

it's x, assuming that x is zero or postive.

if x is negative, it is either undefined,
or if you use complex numbers, it is |x|=-x.

Answer 2

Square root of x times the square root of x is the same as;

√x X √x = X^1/2 x X^1/2

Since we are multiplying and the bases are the same, we add the powers (exponents)


X^1/2X^1/2 = X^1/2+1/2
= X^1
= X

Your first guess was correct. However, you don't have to guess!!

Answer 3

if you have a √x*√x it will be x because both numbers are equal when you take the squareroot of x the answer times the answer is x just like if you take the squareroot of both you get the same two numbers multiplied together to get x again

ex:
√4=2
√4*√4=2*2
2*2=4

√9*√9=3*3
3*3=9

check ya later ♥

Answer 4

X unless x is negative, which is undefined

In reply to other responses, that theory is not entirely true, as u are multiplying two undefined answers. You are also basing the assumption on the hope that there are no such things as exeptions. Try getting the Square root of negative one that is not i.

Answer 5

well, if you take the square root of x multiplied by the square root of x, you would just get x, for sure, a square root times itself is always that number

Answer 6

the answer is X ...

using the law of exponents and keeping X as the base for both figures, you take the two exponents (each being 1/2) and add them together ... 1/2 + 1/2 = 1.
Any number to the power of 1 is itself, so X^1 = X

Answer 7

Your second guess is a sum, so it is incorrect:

sqrt(x) + sqrt(x) = 2 * sqrt(x)

Because the original question is a product, your first guess is correct:

sqrt(x) * sqrt(x) = x

And ignore others' answers that say it is different for negative numbers. If x=(-4), then:

sqrt(-4) * sqrt(-4) = 2i * 2i = 4 * (-1) = -4

Answer 8

The answer is always x for all values, no mater if x is negative or complex or zero, if you just count with complex numbers.

Can you see what is wrong in this reasoning?
1 =
= sqrt(1) =
= sqrt(-1 * -1) =
= sqrt(-1) * sqrt(-1) =
= i * i =
= -1

Answer 9

x because its (x^.5)(x^.5) = x^1 = x

Answer 10

I think it's just "X". Is it for a math homework?