Question Number 186622 by maqsood last updated on 07/Feb/23
$$\:\:\:\mathrm{Solve}\:\mathrm{plz} \\ $$$$\:\:\:\:\left(\sqrt{\mathrm{4}+\mathrm{3}\sqrt{\mathrm{25}+\mathrm{4}\sqrt{\mathrm{16}}}}\right)^{\mathrm{2}} \\ $$
Commented by maqsood last updated on 07/Feb/23
$$\mathrm{Process}\:\mathrm{plz} \\ $$
Commented by mahdipoor last updated on 07/Feb/23
$$=\left(\sqrt{\mathrm{4}+\mathrm{3}\sqrt{\mathrm{25}+\mathrm{4}×\mathrm{4}}}\right)^{\mathrm{2}} =\mathrm{4}+\mathrm{3}\sqrt{\mathrm{41}} \\ $$
Answered by HeferH last updated on 07/Feb/23
$$\left(\sqrt{\mathrm{4}+\mathrm{3}\sqrt{\mathrm{25}+\mathrm{4}\sqrt{\mathrm{16}}}}\right)^{\mathrm{2}} \:\: \\ $$$$\:=\:\mathrm{4}+\mathrm{3}\sqrt{\mathrm{25}+\mathrm{4}\sqrt{\mathrm{16}}}\: \\ $$$$\:=\:\mathrm{4}\:+\:\mathrm{3}\sqrt{\mathrm{25}\:+\:\mathrm{4}\centerdot\mathrm{4}}\: \\ $$$$\:=\:\mathrm{4}\:+\:\mathrm{3}\sqrt{\mathrm{25}+\mathrm{16}}\: \\ $$$$\:=\:\mathrm{4}\:+\:\mathrm{3}\sqrt{\mathrm{41}} \\ $$