Solve sqrt 48b^7 - ScanMath

Question

Simplify the expression

442368 b^{3} 3 b

Evaluate

(48 b)^{7}

Simplify the root

More Steps

Evaluate

48 b

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

16 \times 3 b

Write the number in exponential form with the base of 4

4^{2} \times 3 b

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

4^{2} \times 3 b

Reduce the index of the radical and exponent with 2

4 3 b

(4 3 b)^{7}

Evaluate the power

4^{7} (3 b)^{7}

Evaluate the power

16384 (3 b)^{7}

Evaluate the power

16384 \times 27 b^{3} 3 b

Solution

442368 b^{3} 3 b

Show Solution

b = 0

Evaluate

(48 b)^{7}

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

(48 b)^{7} = 0

Find the domain

(48 b)^{7} = 0, b \geq 0

Calculate

(48 b)^{7} = 0

Simplify the root

More Steps

Evaluate

48 b

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

16 \times 3 b

Write the number in exponential form with the base of 4

4^{2} \times 3 b

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

4^{2} \times 3 b

Reduce the index of the radical and exponent with 2

4 3 b

(4 3 b)^{7} = 0

The only way a power can be 0 is when the base equals 0

4 3 b = 0

Rewrite the expression

3 b = 0

The only way a root could be 0 is when the radicand equals 0

3 b = 0

Rewrite the expression

b = 0

Check if the solution is in the defined range

b = 0, b \geq 0

Solution

b = 0

Show Solution