Question

I need help with simplifying radical expressions please!

Answer 1

\[\sqrt{245u ^{2}v ^{4}}\]

Answer 2

\[\sqrt{245u^{2}v^{4}}=\sqrt{245}\sqrt{u^{2}}\sqrt{v^{4}}\]
For 245 try to factor out perfect squares, or make a factor tree
\[\sqrt{245} = \sqrt{49}\sqrt{5}=7\sqrt{5}\]
For variables convert to exponent form or divide power by the root
\[\sqrt{u^{2}} = u^{2/2} = u\]
\[\sqrt{v^{4}}=v^{4/2}=v^{2}\]
put it all together
\[= 7uv^{2}\sqrt{5}\]

Answer 3

but the answer is \[7v ^{2}\left| u \right|\sqrt{5}\]

Answer 4

hmm well absolute value just ensures its a positive value..

Answer 5

oh okay but what if there's a number in front of the radical, more specifically a negative number?

Answer 6

\[-2\sqrt{u^{2}} = -2u\]

Answer 7

ohh okay, thank you very much!

Answer 8

welcome

Answer 9

lmfao, sorry, and if there's a negative in the radical?

Answer 10

Hello?