Solve sqrt[4]{648*1250}-sqrt[3]{256*54}-sqrt[5]{7*18}

$$\sqrt[ 4 ] { 648 \cdot 1250 } - \sqrt[ 3 ] { 256 \cdot 54 } - \sqrt[ 5 ] { 7 \cdot 18 }$$

Evaluate

$$6-\sqrt[5]{126}\approx 3.369283135$$

Solution Steps

Multiply 648 and 1250 to get 810000.

$$\sqrt[4]{810000}-\sqrt[3]{256\times 54}-\sqrt[5]{7\times 18}$$

Calculate \sqrt[4]{810000} and get 30.

$$30-\sqrt[3]{256\times 54}-\sqrt[5]{7\times 18}$$

Multiply 256 and 54 to get 13824.

$$30-\sqrt[3]{13824}-\sqrt[5]{7\times 18}$$

Calculate \sqrt[3]{13824} and get 24.

$$30-24-\sqrt[5]{7\times 18}$$

Subtract 24 from 30 to get 6.

$$6-\sqrt[5]{7\times 18}$$

Multiply 7 and 18 to get 126.

$$6-\sqrt[5]{126}$$