What is the answer to sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)} ?

The answer to sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)} is x=(sqrt(5)-1)/(sqrt(2))

Solve for x: sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)}

The solution is x=(sqrt(5)-1)/(sqrt(2))

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13 - x 10 = 8 + 5

x = \frac{5 - 1}{2}

Decimal Notation

x = 0.87403 \dots

Solution steps

13 - x 10 = 8 + 5

Square both sides:

13 - x 10 = 8 + 5

13 - x 10 = 8 + 5

Solve

13 - x 10 = 8 + 5 : x = \frac{5 - 1}{2}

x = \frac{5 - 1}{2}

Verify Solutions:

x = \frac{5 - 1}{2}

True

The solution is

x = \frac{5 - 1}{2}

x - 13 + 18 - x = x

6 - 2 x + 3 = 5 x

\frac{3 x}{2} = \frac{3}{2}

5 x - x^{0.5} = 4

2 x^{2} + 3 x + 5 = x + 3

What is the answer to sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)} ?
The answer to sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)} is x=(sqrt(5)-1)/(sqrt(2))
Solve for x: sqrt(13-x\sqrt{10)}=sqrt(8+\sqrt{5)}
The solution is x=(sqrt(5)-1)/(sqrt(2))