Question

do i distribute the 70 in this problem
sqrt 70 (sqrt14)(sqrt22)

Answer 1

you can't simplify sqrt 70

Answer 2

do i just multiply them all together

Answer 3

try it

Answer 4

the numbers to big

Answer 5

its sqrt of 21560

Answer 6

yes, find factors of it that are perfect cubes, such as 4

Answer 7

49 is a factor

Answer 8

can be simplified into 7sqrt440

Answer 9

14sqrt 10

Answer 10

nvm thats wrong

Answer 11

14sqrt110

Answer 12

right

Answer 13

yes

Answer 14

when you have
\[ \sqrt{70}\cdot\sqrt{14}\cdot\sqrt{22} \]
you can put the whole thing under one square root sign:
\[ \sqrt{70 \cdot 14\cdot 22} \]

to simplify this mess, break each number into its prime factors. (so you need to know what numbers are prime)
70= 2*5*7 (to find these, divide by 2 to get 35, then divide 35 by 5 to get 7)
14= 2*7
22= 2*11
now look for pairs (those we can pull out of the square root)
2*5*7*2*7*2*11 rearrange as 2*2*7*7 * 5*2*11
that means we can pull out square root of 2*2*7*7 to get 2*7
the answer is
\[ 2\cdot 7\sqrt{2\cdot5\cdot11} = 14\sqrt{110}\]