Solve sqrt(24\times(24-15)(24-16)(24-17)) | 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

$$\sqrt{ 24 \times (24-15)(24-16)(24-17) }$$

Evaluate

$24\sqrt{21}\approx 109.981816679$

Solution Steps

Subtract $15$ from $24$ to get $9$.

$$\sqrt{24\times 9\left(24-16\right)\left(24-17\right)}$$

Multiply $24$ and $9$ to get $216$.

$$\sqrt{216\left(24-16\right)\left(24-17\right)}$$

Subtract $16$ from $24$ to get $8$.

$$\sqrt{216\times 8\left(24-17\right)}$$

Multiply $216$ and $8$ to get $1728$.

$$\sqrt{1728\left(24-17\right)}$$

Subtract $17$ from $24$ to get $7$.

$$\sqrt{1728\times 7}$$

Multiply $1728$ and $7$ to get $12096$.

$$\sqrt{12096}$$

Factor $12096=24^{2}\times 21$. Rewrite the square root of the product $\sqrt{24^{2}\times 21}$ as the product of square roots $\sqrt{24^{2}}\sqrt{21}$. Take the square root of $24^{2}$.

$$24\sqrt{21}$$