Issolvi 1div6285^-9sqrt{64700^2+44700^2}

$$1 \div 628 { 5 }^{ -9 } \sqrt{ 6 { 4700 }^{ 2 } +4 { 4700 }^{ 2 } }$$

Evalwa

$$\frac{47\sqrt{10}}{12265625}\approx 0.000012117$$

Passi tas-Soluzzjonijiet

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

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

Immultiplika \frac{1}{628} u \frac{1}{1953125} biex tikseb \frac{1}{1226562500}.

$$\frac{1}{1226562500}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

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

$$\frac{1}{1226562500}\sqrt{6\times 22090000+4\times 4700^{2}}$$

Immultiplika 6 u 22090000 biex tikseb 132540000.

$$\frac{1}{1226562500}\sqrt{132540000+4\times 4700^{2}}$$

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

$$\frac{1}{1226562500}\sqrt{132540000+4\times 22090000}$$

Immultiplika 4 u 22090000 biex tikseb 88360000.

$$\frac{1}{1226562500}\sqrt{132540000+88360000}$$

Żid 132540000 u 88360000 biex tikseb 220900000.

$$\frac{1}{1226562500}\sqrt{220900000}$$

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}.

$$\frac{1}{1226562500}\times 4700\sqrt{10}$$

Immultiplika \frac{1}{1226562500} u 4700 biex tikseb \frac{47}{12265625}.

$$\frac{47}{12265625}\sqrt{10}$$