The simplified value of \frac{\sqrt32 +\sqrt48}{\sqrt 8 +\sqrt12 } is:

Powers and Roots Practice Test 2

Question : 17 of 40

Marks: +1, -0

The simplified value of

{√32 +√48}/{√ 8 +√12 }

is:

Solution:

{√32 +√48}/{√ 8 +√12 }

={{√2^5}+√{2^4×3}}/{√2^3+√{2^2×3}}

={2×2√2+2×2√3}/{2√2+2√3}

={4√2+4√3}/{2√2+2√3}

={4(√2+√3)}/{2(√2+√3)}=2

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