Solve sqrt[4]{4*7^2/81div61}

$$\sqrt[ 4 ] { \frac { 4 \times 7 ^ { 2 } } { 81 \div 61 } }$$

Evaluate

$$\frac{\sqrt[4]{11956}}{3}\approx 3.485581339$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\sqrt[4]{\frac{4\times 49}{\frac{81}{61}}}$$

Multiply 4 and 49 to get 196.

$$\sqrt[4]{\frac{196}{\frac{81}{61}}}$$

Divide 196 by \frac{81}{61} by multiplying 196 by the reciprocal of \frac{81}{61}.

$$\sqrt[4]{196\times \frac{61}{81}}$$

Multiply 196 and \frac{61}{81} to get \frac{11956}{81}.

$$\sqrt[4]{\frac{11956}{81}}$$