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?

Is this your equation?

y = (5 + √2)/2

Anything divided by 2 would only be half as large.

The y itself has a square root around it. 5+ square root of 2 is divided by 2.

P.S. There aren't any brackets.

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

Thanks!

To solve the problem, we need to simplify the given expression involving a fraction and evaluate it.

The expression is: √y = (5 + √2) / 2

To remove the square root on the left side, we need to square both sides of the equation:

(√y)^2 = ((5 + √2) / 2)^2

Simplifying further:

y = (5 + √2)^2 / 2^2
y = (5 + √2)^2 / 4

To expand the numerator, we use the formula (a + b)^2 = a^2 + 2ab + b^2:

y = (25 + 10√2 + 2) / 4
y = (27 + 10√2) / 4

Hence, the simplified expression for y is (27 + 10√2) / 4.

Regarding your final answer of 25.5 + 5√2, it seems there might be a mistake in the calculations, as the simplified expression for y is not equivalent to 25.5 + 5√2.