3/5* 150\sqrt{150}*(2- 3\sqrt{3} )

asked by guest
on Nov 24, 2024 at 6:12 am



You asked:

Evaluate the expression: 35150(2−3)\frac{3}{5} \sqrt{150} \left(2 - \sqrt{3}\right)

MathBot Answer:

35150(2−3)=36⋅(2−3)≈1.96901639534121314996850593034807\frac{3}{5} \sqrt{150} \left(2 - \sqrt{3}\right) = 3 \sqrt{6} \cdot \left(2 - \sqrt{3}\right) \approx 1.96901639534121314996850593034807

35150(2−3)=35⋅150⋅(2−3)=35⋅5⋅6⋅(2−3)=3⋅6⋅(2−3)\begin{aligned}\frac{3}{5} \sqrt{150} \left(2 - \sqrt{3}\right)&=\frac{3}{5} \cdot \sqrt{150} \cdot \left(2 - \sqrt{3}\right)\\&=\frac{3}{5} \cdot 5 \cdot \sqrt{6} \cdot \left(2 - \sqrt{3}\right)\\&=3 \cdot \sqrt{6} \cdot \left(2 - \sqrt{3}\right)\end{aligned}

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