Simplify. remove all perfect squares from inside the square root. 12 = 12

Removing the perfect square 4 in 12 we get 2√3

Step-by-step explanation:

The square root of 12 is

√12 = √(4 x 3)

√12  = 2√3.

There's no special trick here, but it's usually easy to check whether a small number is divisible by 4. Keep this in mind when looking for factors.

Removing the perfect square 4 in  the square root of 12 we get 2√3.

Here 4 is a perfect square it can be written as

√4 =√2^2

√4 =2

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

sup

step-by-step explanation: