Solve 2 sqrt 18 + 5 sqrt 32 - sqrt 50

Question

Calculate the value

212

Alternative Form

\approx 29.698485

Evaluate

218 + 532 - 50

Simplify the root

More Steps

Evaluate

18

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

9 \times 2

Write the number in exponential form with the base of 3

3^{2} \times 2

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

3^{2} \times 2

Reduce the index of the radical and exponent with 2

32

2 \times 32 + 532 - 50

Simplify the root

More Steps

Evaluate

32

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

16 \times 2

Write the number in exponential form with the base of 4

4^{2} \times 2

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

4^{2} \times 2

Reduce the index of the radical and exponent with 2

42

2 \times 32 + 5 \times 42 - 50

Simplify the root

More Steps

Evaluate

50

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

25 \times 2

Write the number in exponential form with the base of 5

5^{2} \times 2

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

5^{2} \times 2

Reduce the index of the radical and exponent with 2

52

2 \times 32 + 5 \times 42 - 52

Multiply the terms

62 + 5 \times 42 - 52

Multiply the terms

62 + 202 - 52

Collect like terms by calculating the sum or difference of their coefficients

(6 + 20 - 5) 2

Solution

212

Alternative Form

\approx 29.698485

Show Solution