Solve (4)^(2)6sqrt(756) | 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

$${ 4 }^{ 2 } 6 \sqrt{ 756 }$$

Evaluate

$576\sqrt{21}\approx 2639.563600295$

Solution Steps

Calculate $4$ to the power of $2$ and get $16$.

$$6\times 16\sqrt{756}$$

Multiply $6$ and $16$ to get $96$.

$$96\sqrt{756}$$

Factor $756=6^{2}\times 21$. Rewrite the square root of the product $\sqrt{6^{2}\times 21}$ as the product of square roots $\sqrt{6^{2}}\sqrt{21}$. Take the square root of $6^{2}$.

$$96\times 6\sqrt{21}$$

Multiply $96$ and $6$ to get $576$.

$$576\sqrt{21}$$