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Simplify the following expression. Please show all work √14/√18
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25 votes
Simplify the following expression. Please show all work √14/√18

User Dimay
by
8.4k points

2 Answers

6 votes
Simplify √18 to 3√2:
√14/ 3√2

Rationalize the denominator:
√14/ 3√2 x √2/ √2 = √14√2/ 3 x 2

Simplify √14√2 to √28:
√28/ 3 x 2

Simplify √28 to 2√7:
2√7/ 3 x 2

Simplify 3 x 2 to 6:
2√7/6

Simplify:
√7/ 3

DONE !!
User Amandanovaes
by
8.6k points
10 votes

Answer:

Explanation:


√(14)/√(18)=
√(14*18) /18=√(2*7*2*3*3) /18=6
√(7) /18=
√(7)/3

User Rafael De Castro
by
7.8k points
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