Leysa sqrt{2.92114*10^36/2.96*10^-19}

$$\sqrt{ \frac{ 2.92114 \times { 10 }^{ 36 } }{ 2.96 \times { 10 }^{ -19 } } }$$

Meta

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}\approx 3.141451291 \cdot 10^{27}$$

Lausnarskref

Dragðu veldisvísi nefnarans frá veldisvísi teljarans til að deila veldum með sama stofn.

$$\sqrt{\frac{2.92114\times 10^{55}}{2.96}}$$

Reiknaðu 10 í 55. veldi og fáðu 10000000000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{2.92114\times 10000000000000000000000000000000000000000000000000000000}{2.96}}$$

Margfaldaðu 2.92114 og 10000000000000000000000000000000000000000000000000000000 til að fá út 29211400000000000000000000000000000000000000000000000000.

$$\sqrt{\frac{29211400000000000000000000000000000000000000000000000000}{2.96}}$$

Leystu upp \frac{29211400000000000000000000000000000000000000000000000000}{2.96} með því að margfalda bæði teljara og nefnara með 100.

$$\sqrt{\frac{2921140000000000000000000000000000000000000000000000000000}{296}}$$

Minnka brotið \frac{2921140000000000000000000000000000000000000000000000000000}{296} eins mikið og hægt er með því að draga og stytta út 8.

$$\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}$$

Endurskrifaðu kvaðratrót deilingar \sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}} sem deilingu kvaðratróta \frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}.

$$\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}$$

Stuðull 365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057. Endurskrifaðu kvaðratrót margfeldis \sqrt{50000000000000000000000000^{2}\times 146057} sem margfeldi kvaðratróta \sqrt{50000000000000000000000000^{2}}\sqrt{146057}. Finndu kvaðratrót 50000000000000000000000000^{2}.

$$\frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}}$$

Gerðu nefnara \frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} að ræðri tölu með því að margfalda teljarann og nefnarann með \sqrt{37}.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{\left(\sqrt{37}\right)^{2}}$$

\sqrt{37} í öðru veldi er 37.

$$\frac{50000000000000000000000000\sqrt{146057}\sqrt{37}}{37}$$

Til að margfalda \sqrt{146057} og \sqrt{37} skaltu margfalda tölurnar undir kvaðratrótinni.

$$\frac{50000000000000000000000000\sqrt{5404109}}{37}$$