Relating B and E in an electromagnetic wave

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Homework Statement



I need to determine B(rms) in terms of E(max) given a standard E-M wave.

Homework Equations



E = cB

The Attempt at a Solution



I assumed that B(max) is sqrt(2) x B(rms) and then just plugged in for B(max) in the equation above. Am I right in assuming the rms value involves a square root? (I get confused if it's 2 or sqrt(2))
 
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You are right. The max value is greater than the rms value by a factor of sqrt(2).