Question

by splitting into prime factors find the square root of 396900

Answer 1

Hi ,

2| 396900
__________
2| 198450
__________
3| 99225
_________
3| 33075
_________
3| 11025
__________
5| 3675
__________
5| 735
___________
7| 147
____________
7| 21
____________
3
____________

√( 396900 )= √ ( 2² × 3⁴ × 5² × 7² )

= √ ( 2 × 3² × 5 × 7 )²

= 2 × 3² × 5 × 7

= 630

Therefore ,

√( 396900 ) = 630

I hope this helps you.

: )

Answer 2

$\sqrt{396900} = \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 5 \times 7 \times 7 \times 3}$

$\sqrt{2 \times 3 \times 3 \times 5 \times 7}$

=630