Question

Needs help with Surds i Do

Answer 1

as in
\[\sqrt{32}\]?

Answer 2

Yeah
i need hel with them

Answer 3

for instance, i can't add them, subtract them, simplify them

Answer 4

name one!

Answer 5

kk 2 secs

Answer 6

ok, let's start simple with a simple, \[\sqrt{48}\]

Answer 7

4 times 8 its irrational not a whole number its between four and eight

Answer 8

ok find a perfect square inside 48
\[\sqrt{48}=\sqrt{16\times 3}=\sqrt{16}\times \sqrt{3}=4\sqrt{3}\]

Answer 9

i don't get it

Answer 10

ah, that's makes sense

Answer 11

good

Answer 12

\[\sqrt{50}=\sqrt{25}\times \sqrt{2}=5\sqrt{2}\]

Answer 13

so\[\sqrt{32}\] = 16sqrt2

Answer 14

then 4sqrt 2?

Answer 15

\[\sqrt{x^3}=\sqrt{x^2}\times \sqrt{x}=x\sqrt{x}\]

Answer 16

not
\[16\sqrt{2}\] but rather
\[\sqrt{16}\sqrt{2}\] and since you know that
\[\sqrt{16}=4\] you get it

Answer 17

ok, what about square root 50?

Answer 18

find a perfect square inside of 50 via
\[50=25\times 2\]

Answer 19

sorry, i can see what you mean up there, i need more examples

Answer 20

first off you believe \[50=25\times 2\] yes?

Answer 21

and it is always true that
\[\sqrt{ab}=\sqrt{a}\times \sqrt{b}\]

Answer 22

which means
\[\sqrt{50}=\sqrt{25\times 2}=\sqrt{25}\times \sqrt{2}\]

Answer 23

yes

Answer 24

the point being that
\[\sqrt{25}\] is a number that you know. it is 5.

Answer 25

so
\[\sqrt{50}=5\times \sqrt{2}\]

Answer 26

so in iother words, you split it, the root the larger numer?

Answer 27

the root and the "perfect square" yes

Answer 28

the point is not that it is larger, but rather that it is a perfect square, so you know the square root

Answer 29

Ok, i get it
now

Answer 30

so for example you know that
\[\sqrt{100}=10\] yes?

Answer 31

so \[\sqrt{200}=10\sqrt{2}\]

Answer 32

because 200 = 2*100

Answer 33

ah
so what to do when adding together?

Answer 34

alo is there any way to save conversations?

Answer 35

and adding together 2 surds