What is sqrt(9)*sqrt(8) ?

The solution to sqrt(9)*sqrt(8) is 6sqrt(2)

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simplify sqrt(9)*sqrt(8)

simplify

9 \cdot 8

62

Decimal Notation

8.48528 \dots

Solution steps

98

9 = 3

= 38

Prime factorization of

8 : 2^{3}

= 3 2^{3}

Apply exponent rule:

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

2^{3} = 2^{2} \cdot 2

= 3 2^{2} \cdot 2

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 2 = 2^{2} 2

= 3 2^{2} 2

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 3 \cdot 22

Multiply the numbers:

3 \cdot 2 = 6

= 62

7 (y + 3) = 5 y + 8

3 x^{2} + 4 x - 2 = 0

7 - 1 [6 - 10 (y + 1)] > 2 {5 - 1 [2 - (y - 3)]}

0 = - 16 t^{2} + 95 t + 6

0 = 1.5 x^{2} - 4.5 x