Asked by Lily

This problem has a fraction in it.

Solve: square root of y =(numerator) 5+square root of 2. (Denominator)2

25.5+5square root of 2?

Answers

Answered by PsyDAG
Is this your equation?

y = (5 + √2)/2

Anything divided by 2 would only be half as large.
Answered by Lily
The y itself has a square root around it. 5+ square root of 2 is divided by 2.
Answered by Lily
P.S. There aren't any brackets.
Answered by MathMate
There may not be any brackets explicitly, but whenever there is a numerator, there are implicit brackets around it. The same goes for the denominator.

For example,
Solve: square root of y =(numerator) 5+square root of 2. (Denominator)2
would translate to
√y = (5+√2) / 2

If we omit the brackets, it would become
√y = 5+√2 / 2
which means
√y = 5 + (√2 / 2)
by virtue of the rules of priority of multiplication over addition.

Additional parentheses must be inserted around numerators and denominators in fractions.

Back to your question, assuming the following equation is what you have:
√y = (5+√2) / 2

You can square both sides to give:
y = ±(5+√2)² / 4
=±(25+10√2 + 2)/4
=±(27+10√2)/4
Answered by Lily
Thanks!
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