So the correct SI units for the quantity A are meters (m).

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The correct SI units for the quantity A, derived from the equation A = √(R/TY), are meters (m). The units of R are kg m^3 s^–2, T are kg, and Y are m s^–2. By substituting these units into the equation and simplifying, kg and s^2 cancel out, resulting in √(m^2). This simplification confirms that the final unit for A is indeed meters. Therefore, the correct SI unit for quantity A is meters.
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I am having a problem finding the correct SI unitsfor the quantity A?

In the equation

A=√(R/TY)

That is A equals the square root of R divided by TY

(not to good showing workings on the computer sorry)

, the SI units of the quantity R are kg m^3 s^–2, the SI units of the quantity T are kg and the SI units of the quantity Y are m s^–2. What are the correct SI units for the quantity A?
 
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tommyboo said:
I am having a problem finding the correct SI unitsfor the quantity A?

In the equation

A=√R/TY

That is A equals the square root of R divided by TY
Both your notation and explanation are ambiguous.

Is the expression on the right side this?
\sqrt{\frac{R}{TY}}
or this?
\frac{\sqrt{R}}{TY}
tommyboo said:
(not to good showing workings on the computer sorry)

, the SI units of the quantity R are kg m^3 s^–2, the SI units of the quantity T are kg and the SI units of the quantity Y are m s^–2. What are the correct SI units for the quantity A?
 
The first one R/ty all square root. Do apologise for the bad format
 
Then, the units of A are meters.
 
To clarify gsal's answer...

You have the expression
\sqrt{\frac{R}{TY}}

Simply, insert the units for each variable (in place of the variables):
\sqrt{\frac{\frac{kg\cdot m^3}{s^2}}{(kg)(\frac{m}{s^2})}}

and simplify...
\sqrt{\left(\frac{kg \cdot m^3}{s^2}\right) \left(\frac{s^2}{kg \cdot m}\right)}

kg and s2 cancel out, leaving
\sqrt{\frac{m^3}{m}}

which is
\sqrt{m^2}

or, more simply m
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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