Solve {l}{A=sqrt{(41/4+21/12)^2(17/20:2,7)}}{B=[(1-1-0,111ldots/0,666ldots):(-frac{2}{3})]^-frac{1{2}}}

$$\left. \begin{array} { l } { A = \sqrt { ( 4 \frac { 1 } { 4 } + \frac { 21 } { 12 } ) ^ { 2 } ( 1 \frac { 7 } { 20 } : 2,7 ) } } \\ { B = [ ( 1 - \frac { 1 - 0,111 \ldots } { 0,666 \ldots } ) : ( - \frac { 2 } { 3 } ) ] ^ { - \frac { 1 } { 2 } } } \end{array} \right.$$

Solve for A

$$A=6$$

Steps for Solving Linear Equation

Multiply 4 and 4 to get 16.

$$A=\sqrt{\left(\frac{16+1}{4}+\frac{21}{12}\right)^{2}}$$

Add 16 and 1 to get 17.

$$A=\sqrt{\left(\frac{17}{4}+\frac{21}{12}\right)^{2}}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$A=\sqrt{\left(\frac{17}{4}+\frac{7}{4}\right)^{2}}$$

Add \frac{17}{4} and \frac{7}{4} to get 6.

$$A=\sqrt{6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$A=\sqrt{36}$$

Calculate the square root of 36 and get 6.

$$A=6$$