Issolvi 1-sqrt{1-2*6674*594/36*10^7*2998*10^3}

$$1 - \sqrt { 1 - \frac { 2 \times 6674 \times 594 } { 36 \times 10 ^ { 7 } \times 2998 \times 10 ^ { 3 } } }$$

Evalwa

$$-\frac{\sqrt{22470009834928621}}{149900000}+1\approx 3.673148785 \cdot 10^{-9}$$

Passi Qosra tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 7 u 3 biex tikseb 10.

$$1-\sqrt{1-\frac{2\times 6674\times 594}{36\times 10^{10}\times 2998}}$$

Annulla 2\times 2\times 2\times 9 fin-numeratur u d-denominatur.

$$1-\sqrt{1-\frac{33\times 3337}{1499\times 10^{10}}}$$

Immultiplika 33 u 3337 biex tikseb 110121.

$$1-\sqrt{1-\frac{110121}{1499\times 10^{10}}}$$

Ikkalkula 10 bil-power ta' 10 u tikseb 10000000000.

$$1-\sqrt{1-\frac{110121}{1499\times 10000000000}}$$

Immultiplika 1499 u 10000000000 biex tikseb 14990000000000.

$$1-\sqrt{1-\frac{110121}{14990000000000}}$$

Ikkonverti 1 fi frazzjoni \frac{14990000000000}{14990000000000}.

$$1-\sqrt{\frac{14990000000000}{14990000000000}-\frac{110121}{14990000000000}}$$

Billi \frac{14990000000000}{14990000000000} u \frac{110121}{14990000000000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$1-\sqrt{\frac{14990000000000-110121}{14990000000000}}$$

Naqqas 110121 minn 14990000000000 biex tikseb 14989999889879.

$$1-\sqrt{\frac{14989999889879}{14990000000000}}$$

Erġa' ikteb id-diviżjoni tal-għerq kwadrat \sqrt{\frac{14989999889879}{14990000000000}} bħala d-diviżjoni tal-għeruq kwadrati \frac{\sqrt{14989999889879}}{\sqrt{14990000000000}}.

$$1-\frac{\sqrt{14989999889879}}{\sqrt{14990000000000}}$$

Iffattura 14990000000000=100000^{2}\times 1499. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{100000^{2}\times 1499} bħala l-prodott tal-għeruq kwadrati \sqrt{100000^{2}}\sqrt{1499}. Ħu l-għerq kwadrat ta' 100000^{2}.

$$1-\frac{\sqrt{14989999889879}}{100000\sqrt{1499}}$$

Irrazzjonalizza d-denominatur tal-\frac{\sqrt{14989999889879}}{100000\sqrt{1499}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{1499}.

$$1-\frac{\sqrt{14989999889879}\sqrt{1499}}{100000\left(\sqrt{1499}\right)^{2}}$$

Il-kwadrat ta' \sqrt{1499} huwa 1499.

$$1-\frac{\sqrt{14989999889879}\sqrt{1499}}{100000\times 1499}$$

Biex timmultiplika \sqrt{14989999889879} u \sqrt{1499}, immultiplika n-numri taħt l-għerq kwadrat.

$$1-\frac{\sqrt{22470009834928621}}{100000\times 1499}$$

Immultiplika 100000 u 1499 biex tikseb 149900000.

$$1-\frac{\sqrt{22470009834928621}}{149900000}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{149900000}{149900000}.

$$\frac{149900000}{149900000}-\frac{\sqrt{22470009834928621}}{149900000}$$

Billi \frac{149900000}{149900000} u \frac{\sqrt{22470009834928621}}{149900000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{149900000-\sqrt{22470009834928621}}{149900000}$$