Solve for F
F=\frac{375\sqrt{53}N}{106}
Solve for N
N=\frac{2\sqrt{53}F}{375}
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2\times 2\sqrt{53}F=750N
Factor 212=2^{2}\times 53. Rewrite the square root of the product \sqrt{2^{2}\times 53} as the product of square roots \sqrt{2^{2}}\sqrt{53}. Take the square root of 2^{2}.
4\sqrt{53}F=750N
Multiply 2 and 2 to get 4.
\frac{4\sqrt{53}F}{4\sqrt{53}}=\frac{750N}{4\sqrt{53}}
Divide both sides by 4\sqrt{53}.
F=\frac{750N}{4\sqrt{53}}
Dividing by 4\sqrt{53} undoes the multiplication by 4\sqrt{53}.
F=\frac{375\sqrt{53}N}{106}
Divide 750N by 4\sqrt{53}.
2\times 2\sqrt{53}F=750N
Factor 212=2^{2}\times 53. Rewrite the square root of the product \sqrt{2^{2}\times 53} as the product of square roots \sqrt{2^{2}}\sqrt{53}. Take the square root of 2^{2}.
4\sqrt{53}F=750N
Multiply 2 and 2 to get 4.
750N=4\sqrt{53}F
Swap sides so that all variable terms are on the left hand side.
\frac{750N}{750}=\frac{4\sqrt{53}F}{750}
Divide both sides by 750.
N=\frac{4\sqrt{53}F}{750}
Dividing by 750 undoes the multiplication by 750.
N=\frac{2\sqrt{53}F}{375}
Divide 4\sqrt{53}F by 750.
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