Issolvi sqrt{27}*sqrt{3}-4quad(2)9sqrt{3}-7sqrt{12}+5sqrt{48}

$$\sqrt { 27 } \times \sqrt { 3 } - 4 \quad ( 2 ) 9 \sqrt { 3 } - 7 \sqrt { 12 } + 5 \sqrt { 48 }$$

Evalwa

$$9-66\sqrt{3}\approx -105.3153533$$

Passi tas-Soluzzjonijiet

Iffattura 27=3\times 9. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{3\times 9} bħala l-prodott tal-għeruq kwadrati \sqrt{3}\sqrt{9}.

$$\sqrt{3}\sqrt{9}\sqrt{3}-4\times 9\times 2\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$3\sqrt{9}-4\times 9\times 2\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Ikkalkula l-għerq kwadrat ta' 9 u ikseb 3.

$$3\times 3-4\times 9\times 2\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Immultiplika 3 u 3 biex tikseb 9.

$$9-4\times 9\times 2\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Immultiplika 4 u 9 biex tikseb 36.

$$9-36\times 2\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Immultiplika 36 u 2 biex tikseb 72.

$$9-72\sqrt{3}-7\sqrt{12}+5\sqrt{48}$$

Iffattura 12=2^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{2^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{2^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 2^{2}.

$$9-72\sqrt{3}-7\times 2\sqrt{3}+5\sqrt{48}$$

Immultiplika -7 u 2 biex tikseb -14.

$$9-72\sqrt{3}-14\sqrt{3}+5\sqrt{48}$$

Ikkombina -72\sqrt{3} u -14\sqrt{3} biex tikseb -86\sqrt{3}.

$$9-86\sqrt{3}+5\sqrt{48}$$

Iffattura 48=4^{2}\times 3. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 3} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{3}. Ħu l-għerq kwadrat ta' 4^{2}.

$$9-86\sqrt{3}+5\times 4\sqrt{3}$$

Immultiplika 5 u 4 biex tikseb 20.

$$9-86\sqrt{3}+20\sqrt{3}$$

Ikkombina -86\sqrt{3} u 20\sqrt{3} biex tikseb -66\sqrt{3}.

$$9-66\sqrt{3}$$