Solve p^23376-1 - ScanMath

Question

Simplify the expression

3376 p^{2} - 1

Evaluate

p^{2} \times 3376 - 1

Solution

3376 p^{2} - 1

Show Solution

p_{1} = - \frac{211}{844}, p_{2} = \frac{211}{844}

Alternative Form

p_{1} \approx - 0.017211, p_{2} \approx 0.017211

Evaluate

p^{2} \times 3376 - 1

To find the roots of the expression,set the expression equal to 0

p^{2} \times 3376 - 1 = 0

Use the commutative property to reorder the terms

3376 p^{2} - 1 = 0

Move the constant to the right-hand side and change its sign

3376 p^{2} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

3376 p^{2} = 1

Divide both sides

\frac{3376 p ^{2}}{3376} = \frac{1}{3376}

Divide the numbers

p^{2} = \frac{1}{3376}

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm \frac{1}{3376}

Simplify the expression

More Steps

Evaluate

\frac{1}{3376}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{3376}

Simplify the radical expression

\frac{1}{3376}

Simplify the radical expression

More Steps

Evaluate

3376

Write the expression as a product where the root of one of the factors can be evaluated

16 \times 211

Write the number in exponential form with the base of 4

4^{2} \times 211

The root of a product is equal to the product of the roots of each factor

4^{2} \times 211

Reduce the index of the radical and exponent with 2

4211

\frac{1}{4 211}

Multiply by the Conjugate

\frac{211}{4 211 \times 211}

Multiply the numbers

More Steps

Evaluate

4211 \times 211

When a square root of an expression is multiplied by itself,the result is that expression

4 \times 211

Multiply the terms

844

\frac{211}{844}

p = \pm \frac{211}{844}

Separate the equation into 2 possible cases

p = \frac{211}{844} p = - \frac{211}{844}

Solution

p_{1} = - \frac{211}{844}, p_{2} = \frac{211}{844}

Alternative Form

p_{1} \approx - 0.017211, p_{2} \approx 0.017211

Show Solution