Datrys sqrt{1+10^-7}-1

$$\sqrt { 1 + 10 ^ { - 7 } } - 1$$

Enrhifo

$$\frac{\sqrt{100000010}}{10000}-1\approx 0.00000005$$

Camau Ateb

Cyfrifo 10 i bŵer -7 a chael \frac{1}{10000000}.

$$\sqrt{1+\frac{1}{10000000}}-1$$

Adio 1 a \frac{1}{10000000} i gael \frac{10000001}{10000000}.

$$\sqrt{\frac{10000001}{10000000}}-1$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{10000001}{10000000}} fel rhaniad ail israddau \frac{\sqrt{10000001}}{\sqrt{10000000}}.

$$\frac{\sqrt{10000001}}{\sqrt{10000000}}-1$$

Ffactora 10000000=1000^{2}\times 10. Ailysgrifennu ail isradd y lluoswm \sqrt{1000^{2}\times 10} fel lluoswm ail israddau \sqrt{1000^{2}}\sqrt{10}. Cymryd isradd 1000^{2}.

$$\frac{\sqrt{10000001}}{1000\sqrt{10}}-1$$

Mae'n rhesymoli enwadur \frac{\sqrt{10000001}}{1000\sqrt{10}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{10}.

$$\frac{\sqrt{10000001}\sqrt{10}}{1000\left(\sqrt{10}\right)^{2}}-1$$

Sgwâr \sqrt{10} yw 10.

$$\frac{\sqrt{10000001}\sqrt{10}}{1000\times 10}-1$$

I luosi \sqrt{10000001} a \sqrt{10}, dylid lluosi'r rhifau dan yr ail isradd.

$$\frac{\sqrt{100000010}}{1000\times 10}-1$$

Lluosi 1000 a 10 i gael 10000.

$$\frac{\sqrt{100000010}}{10000}-1$$

I ychwanegu neu dynnu mynegiannau, rhaid i chi eu ehangu i wneud eu enwaduron yr un fath. Lluoswch 1 â \frac{10000}{10000}.

$$\frac{\sqrt{100000010}}{10000}-\frac{10000}{10000}$$

Gan fod gan \frac{\sqrt{100000010}}{10000} a \frac{10000}{10000} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{\sqrt{100000010}-10000}{10000}$$