How to solve 100 imes1/sqrt(2)

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 100\times1/sqrt(2) | Equatix

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Question

$$100 \times 1/ \sqrt{ 2 }$$

Evaluate

$50\sqrt{2}\approx 70.710678119$

Solution Steps

Multiply $100$ and $1$ to get $100$.

$$\frac{100}{\sqrt{2}}$$

Rationalize the denominator of $\frac{100}{\sqrt{2}}$ by multiplying numerator and denominator by $\sqrt{2}$.

$$\frac{100\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of $\sqrt{2}$ is $2$.

$$\frac{100\sqrt{2}}{2}$$

Divide $100\sqrt{2}$ by $2$ to get $50\sqrt{2}$.

$$50\sqrt{2}$$

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