Rešite (3sqrt{2}+bsqrt{2})*(1/4sqrt{2})

$$( 3 \sqrt { 2 } + b \sqrt { 2 } ) \cdot ( \frac { 1 } { 4 } \sqrt { 2 } )$$

Ovrednoti

$$\frac{b+3}{2}$$

Koraki rešitve

Uporabite distributivnost, da pomnožite 3\sqrt{2}+b\sqrt{2} s/z \frac{1}{4}.

$$\left(3\sqrt{2}\times \frac{1}{4}+b\sqrt{2}\times \frac{1}{4}\right)\sqrt{2}$$

Pomnožite 3 in \frac{1}{4}, da dobite \frac{3}{4}.

$$\left(\frac{3}{4}\sqrt{2}+b\sqrt{2}\times \frac{1}{4}\right)\sqrt{2}$$

Uporabite distributivnost, da pomnožite \frac{3}{4}\sqrt{2}+b\sqrt{2}\times \frac{1}{4} s/z \sqrt{2}.

$$\frac{3}{4}\sqrt{2}\sqrt{2}+b\sqrt{2}\times \frac{1}{4}\sqrt{2}$$

Pomnožite \sqrt{2} in \sqrt{2}, da dobite 2.

$$\frac{3}{4}\times 2+b\sqrt{2}\times \frac{1}{4}\sqrt{2}$$

Pomnožite \sqrt{2} in \sqrt{2}, da dobite 2.

$$\frac{3}{4}\times 2+b\times 2\times \frac{1}{4}$$

Izrazite \frac{3}{4}\times 2 kot enojni ulomek.

$$\frac{3\times 2}{4}+b\times 2\times \frac{1}{4}$$

Pomnožite 3 in 2, da dobite 6.

$$\frac{6}{4}+b\times 2\times \frac{1}{4}$$

Zmanjšajte ulomek \frac{6}{4} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{3}{2}+b\times 2\times \frac{1}{4}$$

Pomnožite 2 in \frac{1}{4}, da dobite \frac{2}{4}.

$$\frac{3}{2}+b\times \frac{2}{4}$$

Zmanjšajte ulomek \frac{2}{4} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{3}{2}+b\times \frac{1}{2}$$

Faktoriziraj

$$\frac{b+3}{2}$$