\sqrt{ 14. { 7 }^{ 2 } -6. { 3 }^{ 2 } } = x
Solve for x
x=2\sqrt{158}\approx 25.13961018
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\sqrt{14\times 49-6\times 3^{2}}=x
Calculate 7 to the power of 2 and get 49.
\sqrt{686-6\times 3^{2}}=x
Multiply 14 and 49 to get 686.
\sqrt{686-6\times 9}=x
Calculate 3 to the power of 2 and get 9.
\sqrt{686-54}=x
Multiply 6 and 9 to get 54.
\sqrt{632}=x
Subtract 54 from 686 to get 632.
2\sqrt{158}=x
Factor 632=2^{2}\times 158. Rewrite the square root of the product \sqrt{2^{2}\times 158} as the product of square roots \sqrt{2^{2}}\sqrt{158}. Take the square root of 2^{2}.
x=2\sqrt{158}
Swap sides so that all variable terms are on the left hand side.
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