What is the answer to sqrt(5)+sqrt(8y)=5+sqrt(8) ?

The answer to sqrt(5)+sqrt(8y)=5+sqrt(8) is y=(19+10sqrt(2)-5sqrt(5)-2sqrt(10))/4

Solve for y: sqrt(5)+sqrt(8y)=5+sqrt(8)

The solution is y=(19+10sqrt(2)-5sqrt(5)-2sqrt(10))/4

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5 + 8 y = 5 + 8

y = \frac{19 + 10 2 - 5 5 - 2 10}{4}

Decimal Notation

y = 3.90931 \dots

Solution steps

5 + 8 y = 5 + 8

Simplify

5 + 8 : 5 + 22

5 + 8 y = 5 + 22

Move

5

to the right side

8 y = 5 + 22 - 5

Square both sides:

8 y = 38 + 202 - 105 - 410

8 y = 38 + 202 - 105 - 410

Solve

8 y = 38 + 202 - 105 - 410 : y = \frac{19 + 10 2 - 5 5 - 2 10}{4}

y = \frac{19 + 10 2 - 5 5 - 2 10}{4}

Verify Solutions:

y = \frac{19 + 10 2 - 5 5 - 2 10}{4}

True

The solution is

y = \frac{19 + 10 2 - 5 5 - 2 10}{4}

6 n^{2} - 3 n = 36

- \frac{3}{2} = x^{2} + 2 x + 3

- 2 y - 4 + 2 y + 8 = 2

2 x + 3 - 4 = 0

What is the answer to sqrt(5)+sqrt(8y)=5+sqrt(8) ?
The answer to sqrt(5)+sqrt(8y)=5+sqrt(8) is y=(19+10sqrt(2)-5sqrt(5)-2sqrt(10))/4
Solve for y: sqrt(5)+sqrt(8y)=5+sqrt(8)
The solution is y=(19+10sqrt(2)-5sqrt(5)-2sqrt(10))/4