Lahenda 12/sqrt{1-frac{100{910^16}}}

$$\frac{ 12 }{ \sqrt{ 1- \frac{ 100 }{ 9 { 10 }^{ 16 } } } }$$

Arvuta

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}\approx 12$$

Lahenduse etapid

Arvutage 16 aste 10 ja leidke 10000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{9\times 10000000000000000}}}$$

Korrutage 9 ja 10000000000000000, et leida 90000000000000000.

$$\frac{12}{\sqrt{1-\frac{100}{90000000000000000}}}$$

Taandage murd \frac{100}{90000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 100.

$$\frac{12}{\sqrt{1-\frac{1}{900000000000000}}}$$

Teisendage 1 murdarvuks \frac{900000000000000}{900000000000000}.

$$\frac{12}{\sqrt{\frac{900000000000000}{900000000000000}-\frac{1}{900000000000000}}}$$

Kuna murdudel \frac{900000000000000}{900000000000000} ja \frac{1}{900000000000000} on sama nimetaja, lahutage nende lugejad.

$$\frac{12}{\sqrt{\frac{900000000000000-1}{900000000000000}}}$$

Lahutage 1 väärtusest 900000000000000, et leida 899999999999999.

$$\frac{12}{\sqrt{\frac{899999999999999}{900000000000000}}}$$

Kirjutage: allüksus \sqrt{\frac{899999999999999}{900000000000000}}: allüksus juured \frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}.

$$\frac{12}{\frac{\sqrt{899999999999999}}{\sqrt{900000000000000}}}$$

Arvutage 900000000000000 ruutjuur, et saada 30000000.

$$\frac{12}{\frac{\sqrt{899999999999999}}{30000000}}$$

Jagage 12 väärtusega \frac{\sqrt{899999999999999}}{30000000}, korrutades 12 väärtuse \frac{\sqrt{899999999999999}}{30000000} pöördväärtusega.

$$\frac{12\times 30000000}{\sqrt{899999999999999}}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{899999999999999} nimetaja \frac{12\times 30000000}{\sqrt{899999999999999}} nimetaja.

$$\frac{12\times 30000000\sqrt{899999999999999}}{\left(\sqrt{899999999999999}\right)^{2}}$$

\sqrt{899999999999999} ruut on 899999999999999.

$$\frac{12\times 30000000\sqrt{899999999999999}}{899999999999999}$$

Korrutage 12 ja 30000000, et leida 360000000.

$$\frac{360000000\sqrt{899999999999999}}{899999999999999}$$