What is the answer to sqrt(6)+sqrt(8y)=6+sqrt(8) ?

The answer to sqrt(6)+sqrt(8y)=6+sqrt(8) is y=(25+12sqrt(2)-6sqrt(6)-4sqrt(3))/4

Solve for y: sqrt(6)+sqrt(8y)=6+sqrt(8)

The solution is y=(25+12sqrt(2)-6sqrt(6)-4sqrt(3))/4

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6 + 8 y = 6 + 8

y = \frac{25 + 12 2 - 6 6 - 4 3}{4}

Decimal Notation

y = 5.08635 \dots

Solution steps

6 + 8 y = 6 + 8

Simplify

6 + 8 : 6 + 22

6 + 8 y = 6 + 22

Move

6

to the right side

8 y = 6 + 22 - 6

Square both sides:

8 y = 50 + 242 - 126 - 83

8 y = 50 + 242 - 126 - 83

Solve

8 y = 50 + 242 - 126 - 83 : y = \frac{25 + 12 2 - 6 6 - 4 3}{4}

y = \frac{25 + 12 2 - 6 6 - 4 3}{4}

Verify Solutions:

y = \frac{25 + 12 2 - 6 6 - 4 3}{4}

True

The solution is

y = \frac{25 + 12 2 - 6 6 - 4 3}{4}

5 x^{2} = 15

v + 7 = 9

0 = \frac{1}{1 - x ^{2}}

t, x = - t

w - 3 w = 10

What is the answer to sqrt(6)+sqrt(8y)=6+sqrt(8) ?
The answer to sqrt(6)+sqrt(8y)=6+sqrt(8) is y=(25+12sqrt(2)-6sqrt(6)-4sqrt(3))/4
Solve for y: sqrt(6)+sqrt(8y)=6+sqrt(8)
The solution is y=(25+12sqrt(2)-6sqrt(6)-4sqrt(3))/4