Evaluate square root of 147

Problem

√(,147)

Solution

1. Identify the number inside the radical and look for perfect square factors.

2. Factor the number 147 by checking for divisibility. Since the sum of the digits 1 + 4 + 7 = 12i*s(d(i))*v*i*s(i)*b*l*e*b*y,t*h*e*n*u*m*b*e*r*i*s(d(i))*v*i*s(i)*b*l*e*b*y$.

147=3×49

3. Recognize that 49 is a perfect square, specifically 7

√(,147)=√(,49×3)

4. Apply the product property of radicals, which states √(,a×b)=√(,a)×√(,b)

√(,49×3)=√(,49)×√(,3)

5. Simplify the square root of the perfect square.

√(,49)×√(,3)=7√(,3)

Final Answer

√(,147)=7√(,3)

Want more problems? Check here!