Réitigh sqrt{11/25}+3sqrt{71/9}-0.6sqrt{3025}

$$\sqrt { \frac { 11 } { 25 } } + 3 \sqrt { \frac { 71 } { 9 } } - 0.6 \sqrt { 3025 }$$

Luacháil

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33\approx -23.910525269$$

Céimeanna gearra réitigh

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{11}{25}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{11}}{\sqrt{25}}.

$$\frac{\sqrt{11}}{\sqrt{25}}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Áirigh fréamh chearnach 25 agus faigh 5.

$$\frac{\sqrt{11}}{5}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Athscríobh fréamh cearnach na roinnte \sqrt{\frac{71}{9}} mar roinnt na bhfréamhacha cearnacha \frac{\sqrt{71}}{\sqrt{9}}.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{\sqrt{9}}-0.6\sqrt{3025}$$

Áirigh fréamh chearnach 9 agus faigh 3.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{3}-0.6\sqrt{3025}$$

Cealaigh 3 agus 3.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\sqrt{3025}$$

Áirigh fréamh chearnach 3025 agus faigh 55.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\times 55$$

Méadaigh -0.6 agus 55 chun -33 a fháil.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33$$

Chun cothromóidí a shuimiú nó a dhealú, fairsingigh iad chun a n-ainmneoirí a mheaitseáil. Méadaigh \sqrt{71}-33 faoi \frac{5}{5}.

$$\frac{\sqrt{11}}{5}+\frac{5\left(\sqrt{71}-33\right)}{5}$$

Tá an t-ainmneoir céanna ag \frac{\sqrt{11}}{5} agus \frac{5\left(\sqrt{71}-33\right)}{5} agus, mar sin, is féidir iad a shuimiú trína n-uimhreoirí a shuimiú.

$$\frac{\sqrt{11}+5\left(\sqrt{71}-33\right)}{5}$$

Déan iolrúcháin in \sqrt{11}+5\left(\sqrt{71}-33\right).

$$\frac{\sqrt{11}+5\sqrt{71}-165}{5}$$