Datrys sqrt{2*6673*10^-11*4*6*10^24/6400+35780}

$$\sqrt { \frac { 2 \times 6673 \times 10 ^ { - 11 } \times 4 \times 6 \times 10 ^ { 24 } } { 6400 + 35780 } }$$

Enrhifo

$$\frac{2000000\sqrt{9382238}}{703}\approx 8714207.427833345$$

Camau Ateb

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch -11 a 24 i gael 13.

$$\sqrt{\frac{2\times 6673\times 10^{13}\times 4\times 6}{6400+35780}}$$

Lluosi 2 a 6673 i gael 13346.

$$\sqrt{\frac{13346\times 10^{13}\times 4\times 6}{6400+35780}}$$

Cyfrifo 10 i bŵer 13 a chael 10000000000000.

$$\sqrt{\frac{13346\times 10000000000000\times 4\times 6}{6400+35780}}$$

Lluosi 13346 a 10000000000000 i gael 133460000000000000.

$$\sqrt{\frac{133460000000000000\times 4\times 6}{6400+35780}}$$

Lluosi 133460000000000000 a 4 i gael 533840000000000000.

$$\sqrt{\frac{533840000000000000\times 6}{6400+35780}}$$

Lluosi 533840000000000000 a 6 i gael 3203040000000000000.

$$\sqrt{\frac{3203040000000000000}{6400+35780}}$$

Adio 6400 a 35780 i gael 42180.

$$\sqrt{\frac{3203040000000000000}{42180}}$$

Lleihau'r ffracsiwn \frac{3203040000000000000}{42180} i'r graddau lleiaf posib drwy dynnu a chanslo allan 60.

$$\sqrt{\frac{53384000000000000}{703}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{53384000000000000}{703}} fel rhaniad ail israddau \frac{\sqrt{53384000000000000}}{\sqrt{703}}.

$$\frac{\sqrt{53384000000000000}}{\sqrt{703}}$$

Ffactora 53384000000000000=2000000^{2}\times 13346. Ailysgrifennu ail isradd y lluoswm \sqrt{2000000^{2}\times 13346} fel lluoswm ail israddau \sqrt{2000000^{2}}\sqrt{13346}. Cymryd isradd 2000000^{2}.

$$\frac{2000000\sqrt{13346}}{\sqrt{703}}$$

Mae'n rhesymoli enwadur \frac{2000000\sqrt{13346}}{\sqrt{703}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{703}.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{\left(\sqrt{703}\right)^{2}}$$

Sgwâr \sqrt{703} yw 703.

$$\frac{2000000\sqrt{13346}\sqrt{703}}{703}$$

I luosi \sqrt{13346} a \sqrt{703}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{2000000\sqrt{9382238}}{703}$$