Question

Find the square root of 784 by prime factorization method​

Answer 1

Answer:

Answer:

\red { 784} \green { = 28}784=28

Step-by-step explanation:

\begin{gathered} Resolve\: 784 \: into \: product \:of \:prime \\factors . \end{gathered}

Resolve784intoproductofprime

factors.

2 | 784

_______

2 | 392

_______

2 | 196

_______

2 | 98

_______

7 | 49

_______

***** 7

\sqrt{784} = \sqrt{ 2\times 2\times 2\times 2\times 7\times 7 }

784

=

2×2×2×2×7×7

\begin{gathered} = 2 \times 2 \times 7 \\= 28 \end{gathered}

=2×2×7

=28

Therefore.,

\red { 784} \green { = 28}784=28

Answer 2

Answer:

Prime Factor's of 784 :2*2*2*2*7*7

Hence it is 2*2*7=28