Solve for x
x=10\sqrt{10}\approx 31.622776602
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\sqrt{100\times 10}=x
Calculate the square root of 100 and get 10.
\sqrt{1000}=x
Multiply 100 and 10 to get 1000.
10\sqrt{10}=x
Factor 1000=10^{2}\times 10. Rewrite the square root of the product \sqrt{10^{2}\times 10} as the product of square roots \sqrt{10^{2}}\sqrt{10}. Take the square root of 10^{2}.
x=10\sqrt{10}
Swap sides so that all variable terms are on the left hand side.
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