Solve sqrt{36}div(21/22)^2

$$\sqrt { 36 } \div ( \frac { 21 } { 22 } ) ^ { 2 }$$

Evaluate

$$\frac{968}{147}\approx 6.585034014$$

Solution Steps

Calculate the square root of 36 and get 6.

$$\frac{6}{\left(\frac{21}{22}\right)^{2}}$$

Calculate \frac{21}{22} to the power of 2 and get \frac{441}{484}.

$$\frac{6}{\frac{441}{484}}$$

Divide 6 by \frac{441}{484} by multiplying 6 by the reciprocal of \frac{441}{484}.

$$6\times \frac{484}{441}$$

Express 6\times \frac{484}{441} as a single fraction.

$$\frac{6\times 484}{441}$$

Multiply 6 and 484 to get 2904.

$$\frac{2904}{441}$$

Reduce the fraction \frac{2904}{441} to lowest terms by extracting and canceling out 3.

$$\frac{968}{147}$$

Factor

$$\frac{2 ^ {3} \cdot 11 ^ {2}}{3 \cdot 7 ^ {2}} = 6\frac{86}{147} = 6.585034013605442$$