Solve 7\sqrt 52 + 5\sqrt 637 + 9\sqrt 1053

Question

Calculate the value

13013

Alternative Form

\approx 468.721666

Evaluate

752 + 5637 + 91053

Simplify the root

More Steps

Evaluate

52

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

4 \times 13

Write the number in exponential form with the base of 2

2^{2} \times 13

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

2^{2} \times 13

Reduce the index of the radical and exponent with 2

213

7 \times 213 + 5637 + 91053

Simplify the root

More Steps

Evaluate

637

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

49 \times 13

Write the number in exponential form with the base of 7

7^{2} \times 13

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

7^{2} \times 13

Reduce the index of the radical and exponent with 2

713

7 \times 213 + 5 \times 713 + 91053

Simplify the root

More Steps

Evaluate

1053

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

81 \times 13

Write the number in exponential form with the base of 9

9^{2} \times 13

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

9^{2} \times 13

Reduce the index of the radical and exponent with 2

913

7 \times 213 + 5 \times 713 + 9 \times 913

Multiply the terms

1413 + 5 \times 713 + 9 \times 913

Multiply the terms

1413 + 3513 + 9 \times 913

Multiply the terms

1413 + 3513 + 8113

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

(14 + 35 + 81) 13

Solution

13013

Alternative Form

\approx 468.721666

Show Solution