Solve B^2888-1 - ScanMath

Question

Simplify the expression

888 B^{2} - 1

Evaluate

B^{2} \times 888 - 1

Solution

888 B^{2} - 1

Show Solution

B_{1} = - \frac{222}{444}, B_{2} = \frac{222}{444}

Alternative Form

B_{1} \approx - 0.033558, B_{2} \approx 0.033558

Evaluate

B^{2} \times 888 - 1

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

B^{2} \times 888 - 1 = 0

Use the commutative property to reorder the terms

888 B^{2} - 1 = 0

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

888 B^{2} = 0 + 1

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

888 B^{2} = 1

Divide both sides

\frac{888 B ^{2}}{888} = \frac{1}{888}

Divide the numbers

B^{2} = \frac{1}{888}

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

B = \pm \frac{1}{888}

Simplify the expression

More Steps

Evaluate

\frac{1}{888}

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

\frac{1}{888}

Simplify the radical expression

\frac{1}{888}

Simplify the radical expression

More Steps

Evaluate

888

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

4 \times 222

Write the number in exponential form with the base of 2

2^{2} \times 222

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

2^{2} \times 222

Reduce the index of the radical and exponent with 2

2222

\frac{1}{2 222}

Multiply by the Conjugate

\frac{222}{2 222 \times 222}

Multiply the numbers

More Steps

Evaluate

2222 \times 222

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

2 \times 222

Multiply the terms

444

\frac{222}{444}

B = \pm \frac{222}{444}

Separate the equation into 2 possible cases

B = \frac{222}{444} B = - \frac{222}{444}

Solution

B_{1} = - \frac{222}{444}, B_{2} = \frac{222}{444}

Alternative Form

B_{1} \approx - 0.033558, B_{2} \approx 0.033558

Show Solution