Question

Use prime factorization to find square root of 196

Answer 1

Answer:

Answer is 196=2×2×7×7

Step-by-step explanation:

It is really useful to know the square numbers up to 400.

You would then recognise 196 as 14 ( to the power 2) and from there it is easy.

196=14=(2×7)(to the power 2)

=2×2×7×7

If you do not know the square numbers, you have to work it out by dividing by the prime factors.

196 is even. ∴÷2

2∣196−−−

2∣98−− ←÷2 (even)

7∣49−−

7∣7−

1−

196=2×2×7×7.

I hope you got your answer…

Answer 2

Answer:

14

Step-by-step explanation:

You should always specify if you want an exact answer or a rounded one. I'll assume the former.

Prime Factors

• 196 = 2 * 98
• 196 = 2 * 2 * 49
• 196 = 2 * 2 * 7 * 7

Rule

For every 2 factors under the root sign, take 1 outside the root sign and throw the other one away.

Solution

$\sqrt{2 * 2 * 7 *7}$

2 * 7 * √1

14