Solve sqrt(27\times(27-17)(27-18)(27-19)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\sqrt{ 27 \times (27-17)(27-18)(27-19) }$$

Evaluate

$36\sqrt{15}\approx 139.427400463$

Solution Steps

Subtract $17$ from $27$ to get $10$.

$$\sqrt{27\times 10\left(27-18\right)\left(27-19\right)}$$

Multiply $27$ and $10$ to get $270$.

$$\sqrt{270\left(27-18\right)\left(27-19\right)}$$

Subtract $18$ from $27$ to get $9$.

$$\sqrt{270\times 9\left(27-19\right)}$$

Multiply $270$ and $9$ to get $2430$.

$$\sqrt{2430\left(27-19\right)}$$

Subtract $19$ from $27$ to get $8$.

$$\sqrt{2430\times 8}$$

Multiply $2430$ and $8$ to get $19440$.

$$\sqrt{19440}$$

Factor $19440=36^{2}\times 15$. Rewrite the square root of the product $\sqrt{36^{2}\times 15}$ as the product of square roots $\sqrt{36^{2}}\sqrt{15}$. Take the square root of $36^{2}$.

$$36\sqrt{15}$$