Solve for x
x = \frac{7 \sqrt{2}}{4} \approx 2.474873734
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x\sqrt{9-1}=7
Calculate 3 to the power of 2 and get 9.
x\sqrt{8}=7
Subtract 1 from 9 to get 8.
x\times 2\sqrt{2}=7
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
2\sqrt{2}x=7
The equation is in standard form.
\frac{2\sqrt{2}x}{2\sqrt{2}}=\frac{7}{2\sqrt{2}}
Divide both sides by 2\sqrt{2}.
x=\frac{7}{2\sqrt{2}}
Dividing by 2\sqrt{2} undoes the multiplication by 2\sqrt{2}.
x=\frac{7\sqrt{2}}{4}
Divide 7 by 2\sqrt{2}.
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