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\sqrt{14}\sqrt{2}+\sqrt{14}\sqrt{5}
Use the distributive property to multiply \sqrt{14} by \sqrt{2}+\sqrt{5}.
\sqrt{2}\sqrt{7}\sqrt{2}+\sqrt{14}\sqrt{5}
Factor 14=2\times 7. Rewrite the square root of the product \sqrt{2\times 7} as the product of square roots \sqrt{2}\sqrt{7}.
2\sqrt{7}+\sqrt{14}\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
2\sqrt{7}+\sqrt{70}
To multiply \sqrt{14} and \sqrt{5}, multiply the numbers under the square root.