How do you simplify sqrt72-sqrt147 -sqrt5 -sqrt 8+3sqrt48√72−√147−√5−√8+3√48?

1 Answer
HF
May 25, 2016

4sqrt2 + 5sqrt3 - sqrt54√2+5√3−√5

Explanation:

simplify terms:
sqrt72 = sqrt(36xx2) = sqrt36 xx sqrt2 =6sqrt2√72=√36×2=√36×√2=6√2
sqrt147 = sqrt(49xx3) = sqrt49 xx sqrt3 = 7sqrt3√147=√49×3=√49×√3=7√3
3sqrt48 = 3 xx sqrt(16 xx 3) = 3 xx sqrt16 xx sqrt3 = 3 xx 4 sqrt3 = 12 sqrt33√48=3×√16×3=3×√16×√3=3×4√3=12√3
sqrt8 = sqrt(4 xx 2) = sqrt4 xx sqrt2 = 2sqrt2√8=√4×2=√4×√2=2√2
add like terms:
6sqrt2 - 2sqrt2 = 4sqrt26√2−2√2=4√2
-7sqrt3 + 12 sqrt3 = 5sqrt3−7√3+12√3=5√3
combine:
4sqrt2 + 5sqrt3 - sqrt54√2+5√3−√5

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