rotelle3
rotelle3 rotelle3
  • 30-07-2019
  • Mathematics
contestada

Which expression is equivalent sqrt10/4sqrt8

Which expression is equivalent sqrt104sqrt8 class=

Respuesta :

absor201
absor201 absor201
  • 31-07-2019

Answer:

The correct option is A

Step-by-step 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....

Answer Link
yankeesthe2
yankeesthe2 yankeesthe2
  • 26-01-2022

Answer:

correct answer is a

Step-by-step explanation:

Answer Link

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