Question

√(42*75*14)= √(45*220*44)= √(48*80*35)= √(63*80*35)=

Answer 1

√(42*75*14)=√(2*3*7*3*25*2*7) = 2*3*5*7=210

√(45*220*44)=√(9*5*4*5*11*4*11)=3*5*4*11=660

√(48*80*35)=√(16*3*16*5*5*7)=80√21

√(63*80*35)=√(9*7*16*5*5*7)=3*7*5*4=420

Answer 2

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

1. √(42 * 75 * 14): √(42 * 75 * 14) = √(44,100)

2. √(45 * 220 * 44): √(45 * 220 * 44) = √(217,800)

3. √(48 * 80 * 35): √(48 * 80 * 35) = √(134,400)

4. √(63 * 80 * 35): √(63 * 80 * 35) = √(176,400)

Now, let's find the square root of each result:

1. √(44,100) ≈ 210
2. √(217,800) ≈ 466.65
3. √(134,400) ≈ 366.66
4. √(176,400) ≈ 419.99

So, the approximate square roots are as follows:

1. √(42 * 75 * 14) ≈ 210
2. √(45 * 220 * 44) ≈ 466.65
3. √(48 * 80 * 35) ≈ 366.66
4. √(63 * 80 * 35) ≈ 419.99