(3 $\sqrt{3\}$ -4)(3 $\sqrt{3\}$ -4)

asked by guest
on Nov 23, 2024 at 9:53 pm



You asked:

Evaluate the expression: (33−4)(33−4)\left(3 \sqrt{3} - 4\right) \left(3 \sqrt{3} - 4\right)

MathBot Answer:

(33−4)(33−4)=(−4+33)2≈1.43078061834694495534128780385906\left(3 \sqrt{3} - 4\right) \left(3 \sqrt{3} - 4\right) = \left(-4 + 3 \sqrt{3}\right)^{2} \approx 1.43078061834694495534128780385906

(33−4)(33−4)=(3⋅3−4)⋅(3⋅3−4)=(−4+3⋅3)⋅(3⋅3−4)=(−4+3⋅3)⋅(−4+3⋅3)=(−4+3⋅3)2\begin{aligned}\left(3 \sqrt{3} - 4\right) \left(3 \sqrt{3} - 4\right)&=\left(3 \cdot \sqrt{3} - 4\right) \cdot \left(3 \cdot \sqrt{3} - 4\right)\\&=\left(-4 + 3 \cdot \sqrt{3}\right) \cdot \left(3 \cdot \sqrt{3} - 4\right)\\&=\left(-4 + 3 \cdot \sqrt{3}\right) \cdot \left(-4 + 3 \cdot \sqrt{3}\right)\\&=\left(-4 + 3 \cdot \sqrt{3}\right)^{2}\end{aligned}

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