Solve (((((1/2) sqrt(2))^2) * (((1/2) sqrt(3))^2)) -

Question

Simplify the expression

\frac{9 t ^{2} r ^{2} q ^{2} s ^{2} - 4}{9}

Evaluate

((((1 \div 2) s q r t \times 2)^{2} ((1 \div 2) s q r t \times 3)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Divide the numbers

(((0.5 s q r t \times 2)^{2} ((1 \div 2) s q r t \times 3)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Multiply the terms

(((s q r t)^{2} ((1 \div 2) s q r t \times 3)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Divide the numbers

(((s q r t)^{2} (0.5 s q r t \times 3)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Multiply the terms

(((s q r t)^{2} (1.5 s q r t)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Convert the decimal into a fraction

More Steps

(((s q r t)^{2} (\frac{3}{2} s q r t)^{2}) - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Multiply the terms

More Steps

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - ((1 \div 3) s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Rewrite the expression

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - (\frac{1}{3} s q r t \times 3)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Multiply the terms

More Steps

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - (s q r t)^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Rewrite the expression

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - s^{2} q^{2} r^{2} t^{2}) \div ((1 \div 2) s q r t \times 3 (1 \div 2) s q r t \times 3)

Divide the numbers

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - s^{2} q^{2} r^{2} t^{2}) \div (0.5 s q r t \times 3 (1 \div 2) s q r t \times 3)

Divide the numbers

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - s^{2} q^{2} r^{2} t^{2}) \div (0.5 s q r t \times 3 \times 0.5 s q r t \times 3)

Multiply

More Steps

(\frac{9}{4} s^{4} q^{4} r^{4} t^{4} - s^{2} q^{2} r^{2} t^{2}) \div 2.25 s^{2} q^{2} r^{2} t^{2}

Solution

More Steps

\frac{9 t ^{2} r ^{2} q ^{2} s ^{2} - 4}{9}

Show Solution

s = 0, q = 0, r = 0, t = 0

Show Solution