Issolvi 5*3sqrt{8}+64div2^23-(65+36div6+33-65)

$$5 \times 3 \sqrt{ 8 } +64 \div { 2 }^{ 23-(65+36 \div 6+33-65) }$$

Evalwa

$$30\sqrt{2}+4194304\approx 4194346.426406872$$

Passi tas-Soluzzjonijiet

Immultiplika 3 u 5 biex tikseb 15.

$$15\sqrt{8}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

Iffattura 8=2^{2}\times 2. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 2} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{2}. Ħu l-għerq kwadrat ta' 2^{2}.

$$15\times 2\sqrt{2}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

Immultiplika 15 u 2 biex tikseb 30.

$$30\sqrt{2}+\frac{64}{2^{23-\left(65+\frac{36}{6}+33-65\right)}}$$

Iddividi 36 b'6 biex tikseb6.

$$30\sqrt{2}+\frac{64}{2^{23-\left(65+6+33-65\right)}}$$

Żid 65 u 6 biex tikseb 71.

$$30\sqrt{2}+\frac{64}{2^{23-\left(71+33-65\right)}}$$

Żid 71 u 33 biex tikseb 104.

$$30\sqrt{2}+\frac{64}{2^{23-\left(104-65\right)}}$$

Naqqas 65 minn 104 biex tikseb 39.

$$30\sqrt{2}+\frac{64}{2^{23-39}}$$

Naqqas 39 minn 23 biex tikseb -16.

$$30\sqrt{2}+\frac{64}{2^{-16}}$$

Ikkalkula 2 bil-power ta' -16 u tikseb \frac{1}{65536}.

$$30\sqrt{2}+\frac{64}{\frac{1}{65536}}$$

Iddividi 64 b'\frac{1}{65536} billi timmultiplika 64 bir-reċiproku ta' \frac{1}{65536}.

$$30\sqrt{2}+64\times 65536$$

Immultiplika 64 u 65536 biex tikseb 4194304.

$$30\sqrt{2}+4194304$$