Datrys sqrt{111/25}+3sqrt{71/9}-0,6sqrt{30,25}

$$\sqrt { 1 \frac { 11 } { 25 } } + 3 \sqrt { 7 \frac { 1 } { 9 } } - 0,6 \sqrt { 30,25 }$$

Enrhifo

$$5.9$$

Camau Ateb

Lluosi 1 a 25 i gael 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

Adio 25 a 11 i gael 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

Ailysgrifennu ail isradd y rhaniad \frac{36}{25} fel rhaniad ail israddau \frac{\sqrt{36}}{\sqrt{25}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

Lluosi 7 a 9 i gael 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0.6\sqrt{30.25}$$

Adio 63 a 1 i gael 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0.6\sqrt{30.25}$$

Ailysgrifennu ail isradd y rhaniad \frac{64}{9} fel rhaniad ail israddau \frac{\sqrt{64}}{\sqrt{9}}. Cymryd ail isradd y rhifiadur a'r enwadur.

$$\frac{6}{5}+3\times \frac{8}{3}-0.6\sqrt{30.25}$$

Canslo 3 a 3.

$$\frac{6}{5}+8-0.6\sqrt{30.25}$$

Troswch y rhif degol 8 i’r ffracsiwn \frac{40}{5}.

$$\frac{6}{5}+\frac{40}{5}-0.6\sqrt{30.25}$$

Gan fod gan \frac{6}{5} a \frac{40}{5} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{6+40}{5}-0.6\sqrt{30.25}$$

Adio 6 a 40 i gael 46.

$$\frac{46}{5}-0.6\sqrt{30.25}$$

Cyfrifo ail isradd 30.25 a chael 5.5.

$$\frac{46}{5}-0.6\times 5.5$$

Lluosi -0.6 a 5.5 i gael -3.3.

$$\frac{46}{5}-3.3$$

Troswch y rhif degol 3.3 i’r ffracsiwn \frac{33}{10}.

$$\frac{46}{5}-\frac{33}{10}$$

Lluosrif lleiaf cyffredin 5 a 10 yw 10. Troswch \frac{46}{5} a \frac{33}{10} yn ffracsiynau gyda’r enwadur 10.

$$\frac{92}{10}-\frac{33}{10}$$

Gan fod gan \frac{92}{10} a \frac{33}{10} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{92-33}{10}$$

Tynnu 33 o 92 i gael 59.

$$\frac{59}{10}$$

Ffactor

$$\frac{59}{2 \cdot 5} = 5\frac{9}{10} = 5.9$$