Réitigh sqrt{(6sqrt{6})^2+(6sqrt{2})^2}

$$\sqrt { ( 6 \sqrt { 6 } ) ^ { 2 } + ( 6 \sqrt { 2 } ) ^ { 2 } }$$

Luacháil

$$12\sqrt{2}\approx 16.970562748$$

Céimeanna Réitigh

Fairsingigh \left(6\sqrt{6}\right)^{2}

$$\sqrt{6^{2}\left(\sqrt{6}\right)^{2}+\left(6\sqrt{2}\right)^{2}}$$

Ríomh cumhacht 6 de 2 agus faigh 36.

$$\sqrt{36\left(\sqrt{6}\right)^{2}+\left(6\sqrt{2}\right)^{2}}$$

Is é 6 uimhir chearnach \sqrt{6}.

$$\sqrt{36\times 6+\left(6\sqrt{2}\right)^{2}}$$

Méadaigh 36 agus 6 chun 216 a fháil.

$$\sqrt{216+\left(6\sqrt{2}\right)^{2}}$$

Fairsingigh \left(6\sqrt{2}\right)^{2}

$$\sqrt{216+6^{2}\left(\sqrt{2}\right)^{2}}$$

Ríomh cumhacht 6 de 2 agus faigh 36.

$$\sqrt{216+36\left(\sqrt{2}\right)^{2}}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\sqrt{216+36\times 2}$$

Méadaigh 36 agus 2 chun 72 a fháil.

$$\sqrt{216+72}$$

Suimigh 216 agus 72 chun 288 a fháil.

$$\sqrt{288}$$

Fachtóirigh 288=12^{2}\times 2. Athscríobh fréamh cearnach an toraidh \sqrt{12^{2}\times 2} mar thoradh na bhfréamhacha cearnacha \sqrt{12^{2}}\sqrt{2}. Tóg fréamh chearnach 12^{2}.

$$12\sqrt{2}$$