Question

square root of 784 by prime factorisation

Answer 1

Answer:

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

Step-by-step explanation:

$Resolve\: 784 \: into \: product \:of \:prime \\factors .$

2 | 784

_______

2 | 392

_______

2 | 196

_______

2 | 98

_______

7 | 49

_______

***** 7

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

$= 2 \times 2 \times 7 \\= 28$

Therefore.,

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

•••♪

Answer 2

$\huge\mathfrak\pink{answer}$

$\color{red}{4096}$ = $\color{blue}{64}$

4096:-(2×2)×(2×2)×(2×2)×(2×2)×(2×2)×(2×2)

2| 4096

2| 2408

2| 1024

2| 512

2| 256

2| 128

2| 64

2| 32

2| 16

2| 8

2| 4

2| 2

$\sqrt{4096} = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

$\sqrt{4096} = 64$