Issolvi 628*5^(-9)sqrt{6*4700^2+4*4700^2}

$$628 \times 5 ^ { ( - 9 ) } \sqrt { 6 \times 4700 ^ { 2 } + 4 \times 4700 ^ { 2 } }$$

Evalwa

$$\frac{118064\sqrt{10}}{78125}\approx 4.778894716$$

Passi tas-Soluzzjonijiet

Ikkalkula 5 bil-power ta' -9 u tikseb \frac{1}{1953125}.

$$628\times \frac{1}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

Immultiplika 628 u \frac{1}{1953125} biex tikseb \frac{628}{1953125}.

$$\frac{628}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

Ikkalkula 4700 bil-power ta' 2 u tikseb 22090000.

$$\frac{628}{1953125}\sqrt{6\times 22090000+4\times 4700^{2}}$$

Immultiplika 6 u 22090000 biex tikseb 132540000.

$$\frac{628}{1953125}\sqrt{132540000+4\times 4700^{2}}$$

Ikkalkula 4700 bil-power ta' 2 u tikseb 22090000.

$$\frac{628}{1953125}\sqrt{132540000+4\times 22090000}$$

Immultiplika 4 u 22090000 biex tikseb 88360000.

$$\frac{628}{1953125}\sqrt{132540000+88360000}$$

Żid 132540000 u 88360000 biex tikseb 220900000.

$$\frac{628}{1953125}\sqrt{220900000}$$

Iffattura 220900000=4700^{2}\times 10. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4700^{2}\times 10} bħala l-prodott tal-għeruq kwadrati \sqrt{4700^{2}}\sqrt{10}. Ħu l-għerq kwadrat ta' 4700^{2}.

$$\frac{628}{1953125}\times 4700\sqrt{10}$$

Immultiplika \frac{628}{1953125} u 4700 biex tikseb \frac{118064}{78125}.

$$\frac{118064}{78125}\sqrt{10}$$