Issolvi sqrt{[(13)^{2}-(07)^{2}+32]^2:11^2*5+[(28)^2-023]*10^2}

$$\sqrt { [ ( 13 ) ^ { 2 } - ( 07 ) ^ { 2 } + 32 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 28 ) ^ { 2 } - 023 ] \cdot 10 ^ { 2 } }$$

Evalwa

$$\frac{\sqrt{9688405}}{11}\approx 282.965479891$$

Passi tas-Soluzzjonijiet

Ikkalkula 13 bil-power ta' 2 u tikseb 169.

$$\sqrt{\frac{\left(169-\left(0\times 7\right)^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Immultiplika 0 u 7 biex tikseb 0.

$$\sqrt{\frac{\left(169-0^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Ikkalkula 0 bil-power ta' 2 u tikseb 0.

$$\sqrt{\frac{\left(169-0+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Naqqas 0 minn 169 biex tikseb 169.

$$\sqrt{\frac{\left(169+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Żid 169 u 32 biex tikseb 201.

$$\sqrt{\frac{201^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Ikkalkula 201 bil-power ta' 2 u tikseb 40401.

$$\sqrt{\frac{40401}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Ikkalkula 11 bil-power ta' 2 u tikseb 121.

$$\sqrt{\frac{40401}{121}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Immultiplika \frac{40401}{121} u 5 biex tikseb \frac{202005}{121}.

$$\sqrt{\frac{202005}{121}+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Ikkalkula 28 bil-power ta' 2 u tikseb 784.

$$\sqrt{\frac{202005}{121}+\left(784-0\times 23\right)\times 10^{2}}$$

Immultiplika 0 u 23 biex tikseb 0.

$$\sqrt{\frac{202005}{121}+\left(784-0\right)\times 10^{2}}$$

Naqqas 0 minn 784 biex tikseb 784.

$$\sqrt{\frac{202005}{121}+784\times 10^{2}}$$

Ikkalkula 10 bil-power ta' 2 u tikseb 100.

$$\sqrt{\frac{202005}{121}+784\times 100}$$

Immultiplika 784 u 100 biex tikseb 78400.

$$\sqrt{\frac{202005}{121}+78400}$$

Żid \frac{202005}{121} u 78400 biex tikseb \frac{9688405}{121}.

$$\sqrt{\frac{9688405}{121}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{9688405}{121}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{9688405}}{\sqrt{121}}.

$$\frac{\sqrt{9688405}}{\sqrt{121}}$$

Ikkalkula l-għerq kwadrat ta' 121 u ikseb 11.

$$\frac{\sqrt{9688405}}{11}$$