What is 3sqrt(7.5)sqrt(35) ?

The solution to 3sqrt(7.5)sqrt(35) is (15sqrt(21))/(sqrt(2))

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simplify 3sqrt(7.5)sqrt(35)

simplify

3 7.5 35

\frac{15 21}{2}

Decimal Notation

48.60555 \dots

Solution steps

3 7.5 35

7.5 = \frac{15}{2}

= 3 \frac{15}{2} 35

Apply radical rule:

a b = a \cdot b

35 \frac{15}{2} = 35 \cdot \frac{15}{2}

= 3 35 \cdot \frac{15}{2}

\frac{15}{2} \cdot 35 = \frac{525}{2}

= 3 \frac{525}{2}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{525}{2} = \frac{525}{2}

= 3 \cdot \frac{525}{2}

525 = 521

= 3 \cdot \frac{5 21}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 21 \cdot 3}{2}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15 21}{2}

6.1 \cdot 1 0^{- 5}

e^{- 2} 2

(80 e^{- 0.02 x}) x

(4 - x^{3})^{3}

(\frac{3}{5})^{4} (\frac{8}{5})^{- 12} (\frac{32}{5})^{6}

What is 3sqrt(7.5)sqrt(35) ?
The solution to 3sqrt(7.5)sqrt(35) is (15sqrt(21))/(sqrt(2))