Solve frac{{(sqrt{169}-4)*(1+sqrt{25})}}{(sqrt{49}-1)}+sqrt{sqrt[3]{729}}

$$\frac { \{ ( \sqrt { 169 } - 4 ) \cdot ( 1 + \sqrt { 25 } ) \} } { ( \sqrt { 49 } - 1 ) } + \sqrt { \sqrt[ 3 ] { 729 } }$$

Evaluate

$$12$$

Solution Steps

Calculate the square root of 169 and get 13.

$$\frac{\left(13-4\right)\left(1+\sqrt{25}\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Subtract 4 from 13 to get 9.

$$\frac{9\left(1+\sqrt{25}\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Calculate the square root of 25 and get 5.

$$\frac{9\left(1+5\right)}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Add 1 and 5 to get 6.

$$\frac{9\times 6}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Multiply 9 and 6 to get 54.

$$\frac{54}{\sqrt{49}-1}+\sqrt{\sqrt[3]{729}}$$

Calculate the square root of 49 and get 7.

$$\frac{54}{7-1}+\sqrt{\sqrt[3]{729}}$$

Subtract 1 from 7 to get 6.

$$\frac{54}{6}+\sqrt{\sqrt[3]{729}}$$

Divide 54 by 6 to get 9.

$$9+\sqrt{\sqrt[3]{729}}$$

Calculate \sqrt[3]{729} and get 9.

$$9+\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$9+3$$

Add 9 and 3 to get 12.

$$12$$

Factor

$$2^{2}\times 3$$