Solve 2 sqrt 84 sqrt 96 - sqrt 24

Question

Calculate the value

4814 - 26

Alternative Form

\approx 174.700575

Evaluate

284 \times 96 - 24

Simplify the root

More Steps

Evaluate

84

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

4 \times 21

Write the number in exponential form with the base of 2

2^{2} \times 21

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

2^{2} \times 21

Reduce the index of the radical and exponent with 2

221

2 \times 221 \times 96 - 24

Simplify the root

More Steps

Evaluate

96

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

16 \times 6

Write the number in exponential form with the base of 4

4^{2} \times 6

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

4^{2} \times 6

Reduce the index of the radical and exponent with 2

46

2 \times 221 \times 46 - 24

Simplify the root

More Steps

Evaluate

24

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

4 \times 6

Write the number in exponential form with the base of 2

2^{2} \times 6

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

2^{2} \times 6

Reduce the index of the radical and exponent with 2

26

2 \times 221 \times 46 - 26

Solution

More Steps

Multiply the terms

2 \times 221 \times 46

Multiply the terms

More Steps

Evaluate

2 \times 2 \times 4

Multiply the terms

4 \times 4

Multiply the numbers

16

1621 \times 6

Multiply the terms

More Steps

Evaluate

21 \times 6

The product of roots with the same index is equal to the root of the product

21 \times 6

Calculate the product

126

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

9 \times 14

Write the number in exponential form with the base of 3

3^{2} \times 14

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

3^{2} \times 14

Reduce the index of the radical and exponent with 2

314

16 \times 314

Multiply the terms

4814

4814 - 26

Alternative Form

\approx 174.700575

Show Solution