Solve sqrt(5 sqrt(13 - sqrt(48)))

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Example problems

Type your math problem... sqrt(5 sqrt(13 - sqrt(48)))

Question

Calculate the value

103 - 5

Alternative Form

\approx 3.510058

Evaluate

5 13 - 48

Simplify the root

More Steps

Evaluate

48

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

16 \times 3

Write the number in exponential form with the base of 4

4^{2} \times 3

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

4^{2} \times 3

Reduce the index of the radical and exponent with 2

43

5 13 - 43

Factor the expression

5 (23 - 1)^{2}

Reduce the index of the radical and exponent with 2

5 (23 - 1)

Solution

More Steps

Evaluate

5 (23 - 1)

Apply the distributive property

5 \times 23 - 5

Multiply the terms

103 - 5

103 - 5

Alternative Form

\approx 3.510058

Show Solution

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