Issolvi frac{2sqrt{21}}{7}*frac{2sqrt{7}}{7}

$$\frac { 2 \sqrt { 21 } } { 7 } \times \frac { 2 \sqrt { 7 } } { 7 }$$

Evalwa

$$\frac{4\sqrt{3}}{7}\approx 0.989743319$$

Passi tas-Soluzzjonijiet

Immultiplika \frac{2\sqrt{21}}{7} b'\frac{2\sqrt{7}}{7} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{2\sqrt{21}\times 2\sqrt{7}}{7\times 7}$$

Iffattura 21=7\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{7\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{7}\sqrt{3}.

$$\frac{2\sqrt{7}\sqrt{3}\times 2\sqrt{7}}{7\times 7}$$

Immultiplika \sqrt{7} u \sqrt{7} biex tikseb 7.

$$\frac{2\times 7\times 2\sqrt{3}}{7\times 7}$$

Immultiplika 2 u 7 biex tikseb 14.

$$\frac{14\times 2\sqrt{3}}{7\times 7}$$

Immultiplika 14 u 2 biex tikseb 28.

$$\frac{28\sqrt{3}}{7\times 7}$$

Immultiplika 7 u 7 biex tikseb 49.

$$\frac{28\sqrt{3}}{49}$$

Iddividi 28\sqrt{3} b'49 biex tikseb\frac{4}{7}\sqrt{3}.

$$\frac{4}{7}\sqrt{3}$$