Question

12× 1/2 =? 8 /(√2/2)=? 16√3 / 32 =?

Answer 1

Всем привет удачи в школе

Answer 2

Let's solve each of these expressions step by step:

1. 12 × 1/2 To multiply a number by a fraction, you simply multiply the number by the numerator and divide by the denominator: 12 × 1/2 = (12 × 1) / 2 = 12 / 2 = 6

2. 8 / (√2/2) To divide a number by a fraction, you can multiply by its reciprocal (invert the fraction): 8 / (√2/2) = 8 × (2/√2)

   To rationalize the denominator (i.e., eliminate the radical in the denominator), multiply the numerator and denominator by the conjugate of the denominator: 8 × (2/√2) = 8 × (2/√2) × (√2/√2) = 16√2 / 2 = 8√2

3. 16√3 / 32 The fraction is already in its simplest form, but we can simplify it further by dividing the numerator and denominator by their greatest common divisor (GCD), which is 16: 16√3 / 32 = (16/16) √3 / (32/16) = √3 / 2

So, the simplified expressions are:

1. 12 × 1/2 = 6
2. 8 / (√2/2) = 8√2
3. 16√3 / 32 = √3 / 2