Solve 8\times4-sqrt(36\times5) | 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

$$8 \times 4- \sqrt{ 36 \times 5 }$$

Evaluate

$32-6\sqrt{5}\approx 18.583592135$

Solution Steps

Multiply $8$ and $4$ to get $32$.

$$32-\sqrt{36\times 5}$$

Multiply $36$ and $5$ to get $180$.

$$32-\sqrt{180}$$

Factor $180=6^{2}\times 5$. Rewrite the square root of the product $\sqrt{6^{2}\times 5}$ as the product of square roots $\sqrt{6^{2}}\sqrt{5}$. Take the square root of $6^{2}$.

$$32-6\sqrt{5}$$