((6)(310)-(36)(64))/( √([(6)266-1296][(6)808-4096] ))

asked by guest
on Nov 22, 2024 at 9:47 am



You asked:

Evaluate the expression: 6⋅310−36⋅64(6⋅266−1296)(6⋅808−4096)\frac{6 \cdot 310 - 36 \cdot 64}{\sqrt{\left(6 \cdot 266 - 1296\right) \left(6 \cdot 808 - 4096\right)}}

MathBot Answer:

6⋅310−36⋅64(6⋅266−1296)(6⋅808−4096)=−37141470≈−0.93478863238383603762318713024521\frac{6 \cdot 310 - 36 \cdot 64}{\sqrt{\left(6 \cdot 266 - 1296\right) \left(6 \cdot 808 - 4096\right)}} = - \frac{37 \sqrt{141}}{470} \approx -0.93478863238383603762318713024521

6⋅310−36⋅64(6⋅266−1296)(6⋅808−4096)=(6⋅310−36⋅64)⋅1(6⋅266−1296)⋅(6⋅808−4096)=(1860−36⋅64)⋅1(6⋅266−1296)⋅(6⋅808−4096)=(1860−2304)⋅1(6⋅266−1296)⋅(6⋅808−4096)=−444⋅1(6⋅266−1296)⋅(6⋅808−4096)=−444⋅1(1596−1296)⋅(6⋅808−4096)=−444⋅1300⋅(6⋅808−4096)=−444⋅1300⋅(4848−4096)=−444⋅1300⋅752=−444⋅1225600=−444⋅140⋅141=−37470⋅141\begin{aligned}\frac{6 \cdot 310 - 36 \cdot 64}{\sqrt{\left(6 \cdot 266 - 1296\right) \left(6 \cdot 808 - 4096\right)}}&=\left(6 \cdot 310 - 36 \cdot 64\right) \cdot \frac{1}{\sqrt{\left(6 \cdot 266 - 1296\right) \cdot \left(6 \cdot 808 - 4096\right)}}\\&=\left(1860 - 36 \cdot 64\right) \cdot \frac{1}{\sqrt{\left(6 \cdot 266 - 1296\right) \cdot \left(6 \cdot 808 - 4096\right)}}\\&=\left(1860 - 2304\right) \cdot \frac{1}{\sqrt{\left(6 \cdot 266 - 1296\right) \cdot \left(6 \cdot 808 - 4096\right)}}\\&=-444 \cdot \frac{1}{\sqrt{\left(6 \cdot 266 - 1296\right) \cdot \left(6 \cdot 808 - 4096\right)}}\\&=-444 \cdot \frac{1}{\sqrt{\left(1596 - 1296\right) \cdot \left(6 \cdot 808 - 4096\right)}}\\&=-444 \cdot \frac{1}{\sqrt{300 \cdot \left(6 \cdot 808 - 4096\right)}}\\&=-444 \cdot \frac{1}{\sqrt{300 \cdot \left(4848 - 4096\right)}}\\&=-444 \cdot \frac{1}{\sqrt{300 \cdot 752}}\\&=-444 \cdot \frac{1}{\sqrt{225600}}\\&=-444 \cdot \frac{1}{40 \cdot \sqrt{141}}\\&=- \frac{37}{470} \cdot \sqrt{141}\end{aligned}

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