Réitigh frac{2left(0.8+sqrt{2}right)}{{left(0.2sqrt{2}-0.06right)}^2}

$$\frac{ 2 \left( 0.8+ \sqrt{ 2 } \right) }{ { \left(0.2 \sqrt{ 2 } -0.06 \right) }^{ 2 } }$$

Luacháil

$$\frac{1285000\sqrt{2}+1436000}{36481}\approx 89.176953144$$

Céimeanna Réitigh

Úsáid an teoirim dhéthéarmach \left(a-b\right)^{2}=a^{2}-2ab+b^{2} chun \left(0.2\sqrt{2}-0.06\right)^{2} a leathnú.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\left(\sqrt{2}\right)^{2}-0.024\sqrt{2}+0.0036}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.04\times 2-0.024\sqrt{2}+0.0036}$$

Méadaigh 0.04 agus 2 chun 0.08 a fháil.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.08-0.024\sqrt{2}+0.0036}$$

Suimigh 0.08 agus 0.0036 chun 0.0836 a fháil.

$$\frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi 0.0836+0.024\sqrt{2} chun ainmneoir \frac{2\left(0.8+\sqrt{2}\right)}{0.0836-0.024\sqrt{2}} a thiontú in uimhir chóimheasta.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{\left(0.0836-0.024\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}$$

Mar shampla \left(0.0836-0.024\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right). Is féidir iolrúchán a athrú ó bhonn go dtí difríocht na gcearnóg ag úsáid na rialach seo: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.0836^{2}-\left(-0.024\sqrt{2}\right)^{2}}$$

Ríomh cumhacht 0.0836 de 2 agus faigh 0.00698896.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\sqrt{2}\right)^{2}}$$

Fairsingigh \left(-0.024\sqrt{2}\right)^{2}

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-\left(-0.024\right)^{2}\left(\sqrt{2}\right)^{2}}$$

Ríomh cumhacht -0.024 de 2 agus faigh 0.000576.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\left(\sqrt{2}\right)^{2}}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.000576\times 2}$$

Méadaigh 0.000576 agus 2 chun 0.001152 a fháil.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00698896-0.001152}$$

Dealaigh 0.001152 ó 0.00698896 chun 0.00583696 a fháil.

$$\frac{2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)}{0.00583696}$$

Roinn 2\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right) faoi 0.00583696 chun \frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right) a fháil.

$$\frac{12500000}{36481}\left(0.8+\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

Úsáid an t-airí dáileach chun \frac{12500000}{36481} a mhéadú faoi 0.8+\sqrt{2}.

$$\left(\frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2}\right)\left(0.0836+0.024\sqrt{2}\right)$$

Úsáid an t-airí dáileach chun \frac{10000000}{36481}+\frac{12500000}{36481}\sqrt{2} a mhéadú faoi 0.0836+0.024\sqrt{2} agus chun téarmaí comhchosúla a chumasc.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\left(\sqrt{2}\right)^{2}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{300000}{36481}\times 2$$

Méadaigh \frac{300000}{36481} agus 2 chun \frac{600000}{36481} a fháil.

$$\frac{836000}{36481}+\frac{1285000}{36481}\sqrt{2}+\frac{600000}{36481}$$

Suimigh \frac{836000}{36481} agus \frac{600000}{36481} chun \frac{1436000}{36481} a fháil.

$$\frac{1436000}{36481}+\frac{1285000}{36481}\sqrt{2}$$