Question

If 5+√x=y+√2 then show that x+y=?
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Answer 1

Step-by-step explanation:

it think that should be

5+√x=√y+2

then answer is,

√x-√y= -3

squaring on both side

(√x-√y)²=(-3)²

x-2√xy+y=9

x+y=9+2√xy

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Answer 2

The value of x + y  is 7

Step-by-step explanation:

Given: $5+\sqrt{x}=y+\sqrt{2}$

Here we have two variable equation.

where x under radical and y is real number.

As we know rational number can't be add with irrational number.

So, compare the coefficient both sides with

Rational of left side equal to rational of right side.

Irrational of left side equal to irrational of right side.

Therefore,

$5=y$

$\sqrt{x}=\sqrt{2}$

So, x = 2 and y = 5

Now we need to calculate the value of x + y

⇒ x + y

⇒ 2 + 5

⇒ 7

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