Solve l^244-9 - ScanMath

Question

Simplify the expression

44 l^{2} - 9

Evaluate

l^{2} \times 44 - 9

Solution

44 l^{2} - 9

Show Solution

l_{1} = - \frac{3 11}{22}, l_{2} = \frac{3 11}{22}

Alternative Form

l_{1} \approx - 0.452267, l_{2} \approx 0.452267

Evaluate

l^{2} \times 44 - 9

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

l^{2} \times 44 - 9 = 0

Use the commutative property to reorder the terms

44 l^{2} - 9 = 0

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

44 l^{2} = 0 + 9

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

44 l^{2} = 9

Divide both sides

\frac{44 l ^{2}}{44} = \frac{9}{44}

Divide the numbers

l^{2} = \frac{9}{44}

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

l = \pm \frac{9}{44}

Simplify the expression

More Steps

Evaluate

\frac{9}{44}

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

\frac{9}{44}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{44}

Simplify the radical expression

More Steps

Evaluate

44

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

4 \times 11

Write the number in exponential form with the base of 2

2^{2} \times 11

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

2^{2} \times 11

Reduce the index of the radical and exponent with 2

211

\frac{3}{2 11}

Multiply by the Conjugate

\frac{3 11}{2 11 \times 11}

Multiply the numbers

More Steps

Evaluate

211 \times 11

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

2 \times 11

Multiply the terms

22

\frac{3 11}{22}

l = \pm \frac{3 11}{22}

Separate the equation into 2 possible cases

l = \frac{3 11}{22} l = - \frac{3 11}{22}

Solution

l_{1} = - \frac{3 11}{22}, l_{2} = \frac{3 11}{22}

Alternative Form

l_{1} \approx - 0.452267, l_{2} \approx 0.452267

Show Solution