How to solve 5sqrt(3 imes6)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 5sqrt(3\times6) | Equatix

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Question

$$5 \sqrt{ 3 \times 6 }$$

Evaluate

$15\sqrt{2}\approx 21.213203436$

Solution Steps

Multiply $3$ and $6$ to get $18$.

$$5\sqrt{18}$$

Factor $18=3^{2}\times 2$. Rewrite the square root of the product $\sqrt{3^{2}\times 2}$ as the product of square roots $\sqrt{3^{2}}\sqrt{2}$. Take the square root of $3^{2}$.

$$5\times 3\sqrt{2}$$

Multiply $5$ and $3$ to get $15$.

$$15\sqrt{2}$$

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