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

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

Ebaluatu

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

Ebazpidea

Berrekizun bereko berreturak zatitzeko, kendu izendatzailearen berretzailea zenbakitzailearen berretzaileari.

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

10000000000000000000000000000000000000000000000000000000 lortzeko, egin 10 ber 55.

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

29211400000000000000000000000000000000000000000000000000 lortzeko, biderkatu 2.92114 eta 10000000000000000000000000000000000000000000000000000000.

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

Hedatu \frac{29211400000000000000000000000000000000000000000000000000}{2.96} zenbakitzailea eta izendatzailea 100 balioarekin biderkatuta.

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

Murriztu \frac{2921140000000000000000000000000000000000000000000000000000}{296} zatikia gai txikienera, 8 bakanduta eta ezeztatuta.

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

Berridatzi zatiketaren erro karratua (\sqrt{\frac{365142500000000000000000000000000000000000000000000000000}{37}}) erro karratuen zatiketa gisa (\frac{\sqrt{365142500000000000000000000000000000000000000000000000000}}{\sqrt{37}}).

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

365142500000000000000000000000000000000000000000000000000=50000000000000000000000000^{2}\times 146057 faktorea. Berridatzi biderketaren erro karratua (\sqrt{50000000000000000000000000^{2}\times 146057}) \sqrt{50000000000000000000000000^{2}}\sqrt{146057} erro karratuen biderkadura gisa. Atera 50000000000000000000000000^{2} balioaren erro karratua.

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

Adierazi \frac{50000000000000000000000000\sqrt{146057}}{\sqrt{37}} balioaren izendatzailea zenbaki arrazional gisa. Horretarako, egin zenbakitzailea eta izendatzailea bider \sqrt{37}.

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

\sqrt{37} zenbakiaren karratua 37 da.

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

\sqrt{146057} eta \sqrt{37} biderkatzeko, biderkatu erro karratuaren azpiko zenbakiak.

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