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شائع Word Problems >

What is the product of 3sqrt(6)cis((pi)/8) and 2sqrt(5)cis((7pi)/6)?

الحلّ

simplify

(36 c i s (\frac{π}{8})) \cdot (25 c i s (\frac{7 π}{6}))

الحلّ

\frac{7 30 π ^{2} i ^{2} c ^{2} s ^{2}}{8}

خطوات الحلّ

(36 c i s (\frac{π}{8})) (25 c i s (\frac{7 π}{6}))

(a) = a

:احذف الأقواس

= 36 c i s \frac{π}{8} \cdot 25 c i s \frac{7 π}{6}

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

:اضرب كسور

= \frac{π 7 π 3 6 c i s \cdot 2 5 c i s}{8 \cdot 6}

π 7 π 36 c i s \cdot 25 c i s = 4265 π^{2} i^{2} c^{2} s^{2}

= \frac{42 6 5 π ^{2} i ^{2} c ^{2} s ^{2}}{8 \cdot 6}

8 \cdot 6 = 48 :

اضرب الأعداد

= \frac{42 6 5 π ^{2} i ^{2} c ^{2} s ^{2}}{48}

6 :

إلغ العوامل المشتركة

= \frac{7 6 5 π ^{2} i ^{2} c ^{2} s ^{2}}{8}

6

حلل إلى عوامل:

23

8

حلل إلى عوامل:

2^{3}

= \frac{7 2 3 5 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{3}}

\frac{7 2 3 5 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{3}}

اختزل:

\frac{7 3 5 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{\frac{5}{2}}}

= \frac{7 3 5 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{\frac{5}{2}}}

2^{\frac{5}{2}} = 2^{2} 2

= \frac{7 3 5 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{2} 2}

735 π^{2} i^{2} c^{2} s^{2}

بسّط:

715 π^{2} i^{2} c^{2} s^{2}

= \frac{7 15 π ^{2} i ^{2} c ^{2} s ^{2}}{2 ^{2} 2}

2^{2} = 4

= \frac{7 15 π ^{2} i ^{2} c ^{2} s ^{2}}{4 2}

\frac{7 15 π ^{2} i ^{2} c ^{2} s ^{2}}{4 2}

حوّل لصيغة عدد كسريّ:

\frac{7 30 π ^{2} i ^{2} c ^{2} s ^{2}}{8}

= \frac{7 30 π ^{2} i ^{2} c ^{2} s ^{2}}{8}

أمثلة شائعة

You jogged 11 kilometers at an average speed of 10 kilometers per hour. How long did you jog?The product of 6 and two more than a number Matthew invested 680 in an account paying an interest rate of 5.8% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 11 years?The diameter of a circle is 11 cm. Find its circumference in terms of pi The diameter of a circle is 3 cm. Find the circumference to the nearest tenth