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√399240+√32902+√910116 -ultimul nr este sub ambele radicale

Răspuns :

[tex]\sqrt{399240}+\sqrt{32902+\sqrt{910116}}= \sqrt{399240} +\sqrt{32902+954}\\\\ = \sqrt{399240} +184=6\sqrt{11090}+184[/tex]
=√399240+√(32902+√910116)
=√2³3²·5·1109+√(32902+√2²3⁴53²)
=6√2·5·1109+√(32902+2·3²·53)
=6√11090+√(32902+954)
=6√11090+√33856
=6√11090+√2⁶23²
=6√11090+2³23
=6√11090+184