Mathematics Equation Help.?

Question

What is the answer to this equation:

Square Root of 3 x = 24

When we tranpose the Square Root of 3 to the other side, does it become 24 divided by the Square Root of 3 or 24 multiplied by the Square Root of 3???

Answer 1

It becomes 24/SR of 3, which simplifies to X=8*SR of 3
(24=sr of 3*sr of 3*8, the first sr of 3 cancels the denominator).

Answer 2

Your question is unclear - what's inside the squae root, just the 3, or both the 3 and the x? As you can see by the different solutions people gave, it makes a difference! If it's just the 3, the answer is 24/sqrt(3) = 8*sqrt(3). If it's both, then the answer is 192. You can look at the other answers for the details!

Answer 3

square root means power 1/2
as in....square root of 2 ...is 2^(1/2)

u asked (3x)^(1/2)= 24

3^(1/2) multiply x^(1/2) = 24

now take 3^(1/2) to the other side

x^(1/2) = 24/3^(1/2)

square both sides

x = (24^2)/3
x = 576/3
x = 192.

try doing it on a piece of paper

Answer 4

square root of 3x=24
in order to remove the square root square the equation on both sides.
then wehave 3x=24^2
that is 3x=576
x=576/3=192
if u transpose the squareroot of3 to other side u have
square root of x=24/square root 3

Answer 5

√3x = 24 (multiply both sides by √3)

3x = 24√3 ( noting that √3 x √3 = 3)

x = 8√3 upon dividing both sides by 3

Answer 6

this isn't meant to be patronising yet i do not comprehend what element you're at so i have heavily damaged down the stairs to ascertain you already comprehend what's going on at each and each and every level. First multiply out the brackets: (2 * 9x) - (2 * a million) = ninety 9 - ((7 * 3) - (7 * 4x)) i have saved the perfect section in brackets first time round only to help you note that there's a unfavorable outdoors the bracket and contained in the bracket, so the single on the interior turns right into a positive because the brackets are bumped off. next line: 18x - 2 = ninety 9 - (21 - 28x) So: 18x - 2 = ninety 9 - 21 + 28x I convey both the x words to the left-hand side So: 18x - 28x - 2 = ninety 9 - 21 (if it helps any, what you're truly doing right it truly is subtracting 28x from both side... this is a ought to because the equals signal means you should do an similar action to both side in any respect cases) Now I convey each and each and every of the integers to the right-hand side So: 18x - 28x = ninety 9 - 21 + 2 (again, what i have carried out right it truly is upload 2 to both side) finally you get: -10x = eighty Divide both side through -10 supplies: x = -8 significant ingredient to keep in recommendations for questions like this? in spite of you do on one side of the equals signal you also ought to do on the different.

Answer 7

First you should square both sides

sqr(3x)^2=24^2
When you take a square root and take it to the 2nd power, the square root and the power go away
3x = 576
x = 192

Answer 8

Square both sides:
3x=576

Divide 3 from both sides:
x=192

Check:
√3(192)=24
√576=24
24=24

I hope this helps!

Answer 9

because u are divding both sides by sqrt(3) we get

x = 24/sqrt(3)

to rationalize denominator = 24*sqrt(3)/(sqrt(3)^2) = 24*sqrt(3)/3
= 8 sqrt(3)