Answer:
6y^2√10 +12y √5
Step-by-step explanation:
3√10(y^2√4 + √8y)
Distribute
3√10(y^2√4) +3√10 (√8y)
3y^2 √40+3y√80
We know that √ab = √a√b
3y^2 √4*√10+3y√16√5
3y^2 *2*√10+3y*4√5
6y^2√10 +12y √5
Answer:
OPTION A
OPTION B
OPTION C
Step-by-step explanation:
Irrational numbers are the subset of real numbers. Their decimal representation neither form a pattern nor terminate.
OPTION A: 
This is equal to 
.
is non-terminating. So, it is an irrational number. Hence, the reciprocal of an irrational number would also be irrational. So, OPTION A is irrational.
OPTION B: 
This is equal to 
. Using the same logic as Option A, we regard OPTION B to be irrational as well.
OPTION C: 
This is equal to 
.
Both 
and 
are irrational. So, the product and the reciprocal of the product is irrational as well. So, OPTION C is an irrational number.
OPTION D: 
16 is a perfect square and is a rational number. 
= 
. This is equal to 0.25, a terminating decimal. So, OPTION D is a rational number.
OPTION E: 
4 is a perfect square as well. 
, a terminating decimal. So, OPTION E is a rational number.
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