How to solve sqrt(2 63/81)

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 sqrt(2 63/81) | Equatix

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Question

$$\sqrt{2\frac{63}{81}}$$

Evaluate

$\frac{5}{3}\approx 1.666666667$

Solution Steps

Multiply $2$ and $81$ to get $162$.

$$\sqrt{\frac{162+63}{81}}$$

Add $162$ and $63$ to get $225$.

$$\sqrt{\frac{225}{81}}$$

Reduce the fraction $\frac{225}{81}$ to lowest terms by extracting and canceling out $9$.

$$\sqrt{\frac{25}{9}}$$

Rewrite the square root of the division $\frac{25}{9}$ as the division of square roots $\frac{\sqrt{25}}{\sqrt{9}}$. Take the square root of both numerator and denominator.

$$\frac{5}{3}$$

Show Solution

Factor

$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$