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Which expression is equivalent sqrt10/4sqrt8

Which expression is equivalent sqrt10/4sqrt8-example-1
User CarComp
by
8.2k points

2 Answers

6 votes

Answer:

correct answer is a

Explanation:

User Dita
by
8.1k points
5 votes

Answer:

The correct option is A

Explanation:

The given expression is:

√10/4√8

We have to eliminate the √ from the denominator

4√8 = (2^3)^1/4

Multiply the whole expression by (2)^1/4

=(2)^1/4 * √10/ 2^(1/4)*(2^3)^(1/4)

= 2^(1/4) · 10^(2/4) / 2^1/4+3/4

=2^(1/4) · 10^(2/4) / 2^1+3/4

=2^(1/4) · 10^(2/4) / 2^4/4

=2^(1/4) · 10^(2/4) /2

=2^(1/4) · 100^(1/4) /2

=200^1/4 /2

= 4√200 /2

Thus the correct option is A....

User Gabi Radu
by
7.8k points