Datrys 6^2-(frac{6sqrt{5}}{5})^2

$$6 ^ { 2 } - ( \frac { 6 \sqrt { 5 } } { 5 } ) ^ { 2 }$$

Enrhifo

$$\frac{144}{5}=28.8$$

Camau Ateb

Cyfrifo 6 i bŵer 2 a chael 36.

$$36-\left(\frac{6\sqrt{5}}{5}\right)^{2}$$

I godi \frac{6\sqrt{5}}{5} i bŵer, codwch y rhifiadur a'r enwadur i bŵer ac yna rhannwch nhw.

$$36-\frac{\left(6\sqrt{5}\right)^{2}}{5^{2}}$$

Ehangu \left(6\sqrt{5}\right)^{2}.

$$36-\frac{6^{2}\left(\sqrt{5}\right)^{2}}{5^{2}}$$

Cyfrifo 6 i bŵer 2 a chael 36.

$$36-\frac{36\left(\sqrt{5}\right)^{2}}{5^{2}}$$

Sgwâr \sqrt{5} yw 5.

$$36-\frac{36\times 5}{5^{2}}$$

Lluosi 36 a 5 i gael 180.

$$36-\frac{180}{5^{2}}$$

Cyfrifo 5 i bŵer 2 a chael 25.

$$36-\frac{180}{25}$$

Lleihau'r ffracsiwn \frac{180}{25} i'r graddau lleiaf posib drwy dynnu a chanslo allan 5.

$$36-\frac{36}{5}$$

Tynnu \frac{36}{5} o 36 i gael \frac{144}{5}.

$$\frac{144}{5}$$

Ffactor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{5} = 28\frac{4}{5} = 28.8$$