Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$5 \sqrt{ 243 } \times \sqrt{ 2[3 \sqrt{ 27+(-3)(-5)]+(-1) { -3 }^{ 3 } } }$$

Answer

5*9*sqrt(3*2[3*sqrt(54+3*5]))

Solution


Simplify  \(\sqrt{243}\)  to  \(9\sqrt{3}\).
5*9*sqrt(3)*sqrt(2\(3sqrt\)-1*(-3)^3))
Since the power of 3 is odd, the result will be negative.
5*9*sqrt(3)*sqrt(2\(3sqrt\)-1*-3^3))
Simplify  \({3}^{3}\)  to  \(27\).
5*9*sqrt(3)*sqrt(2\(3sqrt\)-1*-27))
Simplify negative sign.
5*9*sqrt(3)*sqrt(2\(3sqrt\))-1*-27))
Simplify  \(1\times -27\)  to  \(-27\).
5*9*sqrt(3)*sqrt(2\(3sqrt\))-(-27)))
Remove parentheses.
5*9*sqrt(3)*sqrt(2\(3sqrt\)+27))
5*9*sqrt(3)*sqrt(2\(3sqrt\)))
Simplify.
5*9*sqrt(3*2\(3sqrt\)))
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