What is (3sqrt(5z))(5sqrt(2z)) ?

The solution to (3sqrt(5z))(5sqrt(2z)) is 15sqrt(10)z

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simplify (3sqrt(5z))(5sqrt(2z))

simplify

(3 5 z) (5 2 z)

1510 z

Solution steps

(3 5 z) (5 2 z)

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

5 z = 5 z

= 3 \cdot 55 z 2 z

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

2 z = 2 z

= 3 \cdot 552 z z

Apply radical rule:

a a = a

z z = z

= 3 \cdot 552 z

Multiply the numbers:

3 \cdot 5 = 15

= 1552 z

Apply radical rule:

a b = a \cdot b

52 = 5 \cdot 2

= 15 5 \cdot 2 z

Multiply the numbers:

5 \cdot 2 = 10

= 1510 z

x x - 20

1.6 \cdot 1 0^{- 19} x^{31}

4 q^{2} \cdot 4 t^{2} \cdot 4 π

- 14 x^{3} y^{3}

e^{- 2 t (2 c o s (5 t) - s i n (5 t))}

What is (3sqrt(5z))(5sqrt(2z)) ?
The solution to (3sqrt(5z))(5sqrt(2z)) is 15sqrt(10)z