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\frac{330}{7\sqrt{7055}}
Factor 345695=7^{2}\times 7055. Rewrite the square root of the product \sqrt{7^{2}\times 7055} as the product of square roots \sqrt{7^{2}}\sqrt{7055}. Take the square root of 7^{2}.
\frac{330\sqrt{7055}}{7\left(\sqrt{7055}\right)^{2}}
Rationalize the denominator of \frac{330}{7\sqrt{7055}} by multiplying numerator and denominator by \sqrt{7055}.
\frac{330\sqrt{7055}}{7\times 7055}
The square of \sqrt{7055} is 7055.
\frac{66\sqrt{7055}}{7\times 1411}
Cancel out 5 in both numerator and denominator.
\frac{66\sqrt{7055}}{9877}
Multiply 7 and 1411 to get 9877.