Issolvi sqrt{2^3*3-6*(7*3-2*3^2)+3^2*2^3-{11}^3div{11}^2}

$$\sqrt{ { 2 }^{ 3 } \times 3-6 \times (7 \times 3-2 \times { 3 }^{ 2 } )+ { 3 }^{ 2 } \times { 2 }^{ 3 } - { 11 }^{ 3 } \div { 11 }^{ 2 } }$$

Evalwa

$$\sqrt{67}\approx 8.185352772$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur. Naqas 2 minn 3 biex tikseb 1.

$$\sqrt{2^{3}\times 3-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

$$\sqrt{8\times 3-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

Immultiplika 8 u 3 biex tikseb 24.

$$\sqrt{24-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

Immultiplika 7 u 3 biex tikseb 21.

$$\sqrt{24-6\left(21-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\sqrt{24-6\left(21-2\times 9\right)+3^{2}\times 2^{3}-11^{1}}$$

Immultiplika 2 u 9 biex tikseb 18.

$$\sqrt{24-6\left(21-18\right)+3^{2}\times 2^{3}-11^{1}}$$

Naqqas 18 minn 21 biex tikseb 3.

$$\sqrt{24-6\times 3+3^{2}\times 2^{3}-11^{1}}$$

Immultiplika 6 u 3 biex tikseb 18.

$$\sqrt{24-18+3^{2}\times 2^{3}-11^{1}}$$

Naqqas 18 minn 24 biex tikseb 6.

$$\sqrt{6+3^{2}\times 2^{3}-11^{1}}$$

Ikkalkula 3 bil-power ta' 2 u tikseb 9.

$$\sqrt{6+9\times 2^{3}-11^{1}}$$

Ikkalkula 2 bil-power ta' 3 u tikseb 8.

$$\sqrt{6+9\times 8-11^{1}}$$

Immultiplika 9 u 8 biex tikseb 72.

$$\sqrt{6+72-11^{1}}$$

Żid 6 u 72 biex tikseb 78.

$$\sqrt{78-11^{1}}$$

Ikkalkula 11 bil-power ta' 1 u tikseb 11.

$$\sqrt{78-11}$$

Naqqas 11 minn 78 biex tikseb 67.

$$\sqrt{67}$$