Datrys sqrt{9/2}+sqrt{25/8}+sqrt[3]{3000}-8sqrt[3]{3}-sqrt[3]{24}+sqrt{1/8}

$$\sqrt { \frac { 9 } { 2 } } + \sqrt { \frac { 25 } { 8 } } + \sqrt[ 3 ] { 3000 } - 8 \sqrt[ 3 ] { 3 } - \sqrt[ 3 ] { 24 } + \sqrt { \frac { 1 } { 8 } }$$

Enrhifo

$$3\sqrt{2}\approx 4.242640687$$

Camau Ateb

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{9}{2}} fel rhaniad ail israddau \frac{\sqrt{9}}{\sqrt{2}}.

$$\frac{\sqrt{9}}{\sqrt{2}}+\sqrt{\frac{25}{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Cyfrifo ail isradd 9 a chael 3.

$$\frac{3}{\sqrt{2}}+\sqrt{\frac{25}{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Mae'n rhesymoli enwadur \frac{3}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{3\sqrt{2}}{\left(\sqrt{2}\right)^{2}}+\sqrt{\frac{25}{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{3\sqrt{2}}{2}+\sqrt{\frac{25}{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{25}{8}} fel rhaniad ail israddau \frac{\sqrt{25}}{\sqrt{8}}.

$$\frac{3\sqrt{2}}{2}+\frac{\sqrt{25}}{\sqrt{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Cyfrifo ail isradd 25 a chael 5.

$$\frac{3\sqrt{2}}{2}+\frac{5}{\sqrt{8}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{3\sqrt{2}}{2}+\frac{5}{2\sqrt{2}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Mae'n rhesymoli enwadur \frac{5}{2\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{3\sqrt{2}}{2}+\frac{5\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{3\sqrt{2}}{2}+\frac{5\sqrt{2}}{2\times 2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Lluosi 2 a 2 i gael 4.

$$\frac{3\sqrt{2}}{2}+\frac{5\sqrt{2}}{4}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Cyfuno \frac{3\sqrt{2}}{2} a \frac{5\sqrt{2}}{4} i gael \frac{11}{4}\sqrt{2}.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\sqrt{\frac{1}{8}}$$

Ailysgrifennu ail isradd y rhaniad \sqrt{\frac{1}{8}} fel rhaniad ail israddau \frac{\sqrt{1}}{\sqrt{8}}.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{\sqrt{1}}{\sqrt{8}}$$

Cyfrifo ail isradd 1 a chael 1.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{1}{\sqrt{8}}$$

Ffactora 8=2^{2}\times 2. Ailysgrifennu ail isradd y lluoswm \sqrt{2^{2}\times 2} fel lluoswm ail israddau \sqrt{2^{2}}\sqrt{2}. Cymryd isradd 2^{2}.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{1}{2\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{1}{2\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{\sqrt{2}}{2\times 2}$$

Lluosi 2 a 2 i gael 4.

$$\frac{11}{4}\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}+\frac{\sqrt{2}}{4}$$

Cyfuno \frac{11}{4}\sqrt{2} a \frac{\sqrt{2}}{4} i gael 3\sqrt{2}.

$$3\sqrt{2}+\sqrt[3]{3000}-8\sqrt[3]{3}-\sqrt[3]{24}$$