Question

Solve the equation, if possible. Give answer in radical form. x^2=48

Answer 1

x^2 = 48
take square root on both sides, what u get ?

Answer 2

6.93

Answer 3

lets not use any calculator.

x^2 = 48
\(x = \pm \sqrt {48}\)
can you factor 48 ?

Answer 4

Yes

Answer 5

so, 48 =... ?
(please factor it)

Answer 6

so i got 2 pairs of 2s and only one 3

Answer 7

correct!
\(\sqrt {48} = \sqrt {(2 \times 2) (2 \times 2) 3}\)

Answer 8

so, those 2 pairs can be taken out of the square root sign
\(\sqrt {48} = 2 \times 2 \times \sqrt3\)

Answer 9

finally,
\(\sqrt {48} = 4 \sqrt 3\)
thats it!

Answer 10

So you just times the pair???

Answer 11

\(x = + 4 \sqrt 3 \\ x = -4 \sqrt 3\)
yes,
we use , \(\sqrt {a \times a} = a \)

Answer 12

Thank you!

Answer 13

welcome ^_^