Solve ((4 * (sqrt(22)^2)) * (((3 * (sqrt(22)^3)) - 2)

Question

Simplify the expression

1936 s q r t 31944 s q r t - 2 - 4

Show Solution

4 (484 s q r t 31944 s q r t - 2 - 1)

Evaluate

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

Remove the parentheses

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

Use the commutative property to reorder the terms

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

Multiply the numbers

More Steps

(4 s q r t \times 2 2^{2} (31944 s q r t - 2)^{1 \div 2}) - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

Divide the numbers

(4 s q r t \times 2 2^{2} (31944 s q r t - 2)^{0.5}) - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

Convert the decimal into a fraction

More Steps

(4 s q r t \times 2 2^{2} (31944 s q r t - 2)^{\frac{1}{2}}) - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

Use the commutative property to reorder the terms

(4 \times 2 2^{2} s q r t (31944 s q r t - 2)^{\frac{1}{2}}) - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

Multiply the numbers

More Steps

(1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}}) - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

Multiply the terms

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1^{2} \times ((3 \times 1^{3}) - 2)^{1 \div 2})

1 raised to any power equals to 1

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1^{2} \times ((3 \times 1) - 2)^{1 \div 2})

Any expression multiplied by 1 remains the same

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1^{2} \times (3 - 2)^{1 \div 2})

Subtract the numbers

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1^{2} \times 1^{1 \div 2})

1 raised to any power equals to 1

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1 \times 1^{1 \div 2})

Divide the numbers

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1 \times 1^{0.5})

Calculate

More Steps

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1 \times 1)

Any expression multiplied by 1 remains the same

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - (4 \times 1)

Any expression multiplied by 1 remains the same

1936 s q r t (31944 s q r t - 2)^{\frac{1}{2}} - 4

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

1936 s q r t 31944 s q r t - 2 - 4

Solution

4 (484 s q r t 31944 s q r t - 2 - 1)

Show Solution