How do you simplify #\frac { 1} { \sqrt { 2} } - 3\sqrt { 50}#?

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Answer 1 · 2017-11-23T13:34:48

#=29sqrt2/2#

we need to rationalise the first term and simplify the second into its simplest square root

#1/sqrt2-3sqrt50#

#=1/sqrt2xxsqrt2/sqrt2-3sqrt(25xx2#

#=sqrt2/2-3sqrt25sqrt2#

#=sqrt2/2-15sqrt2#

#=sqrt2(1/2-15)#

#=-29sqrt2/2#