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Question Number 186622 by maqsood last updated on 07/Feb/23

$$\mathrm{Solve}\mathrm{plz}$$$${\left(\sqrt{4+3\sqrt{25+4\sqrt{16}}}\right)}^2$$

Commented by maqsood last updated on 07/Feb/23

$$\mathrm{Process}\mathrm{plz}$$

Commented by mahdipoor last updated on 07/Feb/23

$$={\left(\sqrt{4+3\sqrt{25+4\times 4}}\right)}^2=4+3\sqrt{41}$$

Answered by HeferH last updated on 07/Feb/23

$${\left(\sqrt{4+3\sqrt{25+4\sqrt{16}}}\right)}^2$$$$=4+3\sqrt{25+4\sqrt{16}}$$$$=4+3\sqrt{25+4\cdot 4}$$$$=4+3\sqrt{25+16}$$$$=4+3\sqrt{41}$$

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