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Question Number 169429 by Fridunatjan08 last updated on 30/Apr/22

$$\sqrt{220+30\sqrt{35}}=$$

Answered by cortano1 last updated on 30/Apr/22

$$\sqrt{220+2\sqrt{225\times 35}}=\sqrt{(45+175)+2\sqrt{45\times 175}}$$$$=\sqrt{45}+\sqrt{175}$$$$=3\sqrt{5}+5\sqrt{7}$$

Commented by peter frank last updated on 30/Apr/22

$$\mathrm{thanks}$$

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