Please solve this question with step by step explanation.

1.	Please solve this question with step by step explanation.
Answer» Step-by-step EXPLANATION: √(8+√28) -√(8-√28)/√(8+√28)+√(8-√28) MULTIPLY NUMERATOR and DENOMINATOR by √(8+√28)-√(8-√28) =((8+√28)-√(8-√28))^2/(√8+√28)^2-(√8-√28)^2 =8+√28-2√(8+√28)(8-√28)+8-√28/8+√28-8+√28 =16-2√(64-28)/2√28 =16-12/2*2√7 =4/4√7 =1/√7

Answer»

Step-by-step EXPLANATION:

√(8+√28) -√(8-√28)/√(8+√28)+√(8-√28)

MULTIPLY NUMERATOR and DENOMINATOR by √(8+√28)-√(8-√28)

=((8+√28)-√(8-√28))^2/(√8+√28)^2-(√8-√28)^2

=8+√28-2√(8+√28)(8-√28)+8-√28/8+√28-8+√28

=16-2√(64-28)/2√28

=16-12/2*2√7

=4/4√7

=1/√7

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