Question

What is the value of (10 - √(18)/√(2))?

1) (5 - \sqrt{2})
2) (5 + \sqrt{2})
3) (5\sqrt{2} - 2\sqrt{3})
4) (5\sqrt{2} + 2\sqrt{3})

Answer 1

The value of (10 - √18/√2) is (5√2 - √2).

Step-by-step explanation:

To find the value of (10 - √18/√2), we need to simplify the expression.

To simplify, we need to rationalize the denominator by multiplying the expression by √2/√2.

This gives us (10√2 - √18√2)/2.

Simplifying further, we have (10√2 - 3√2 × √2)/2.

Finally, this simplifies to (10√2 - 3√2)/2, which is (5√2 - √2).