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Popular >

simplify sqrt(8)(sqrt(18)-sqrt(8))

Solution

simplify

8 (18 - 8)

Solution

4

Solution steps

8 (18 - 8)

8 = 22

= 22 (18 - 8)

18 - 8 = 2

= 222

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 \cdot 2

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2 \cdot 2 = 2^{1 + 1}

= 2^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is sqrt(8)(sqrt(18)-sqrt(8)) ?
The solution to sqrt(8)(sqrt(18)-sqrt(8)) is 4