What is sqrt(2t^{15)s^3}\times sqrt(8ts) ?

The solution to sqrt(2t^{15)s^3}\times sqrt(8ts) is 4t^8s^2

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simplify sqrt(2t^{15)s^3}\times sqrt(8ts)

simplify

2 t^{15} s^{3} \cdot 8 t s

4 t^{8} s^{2}

Solution steps

2 t^{15} s^{3} 8 t s

Simplify

2 t^{15} s^{3} : 2 t^{7} t s s

= 2 t^{7} t s s 8 t s

Simplify

8 t s : 22 t s

= 2 t^{7} t s s \cdot 22 t s

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 2 t^{7} t s s \cdot 2 t s

Apply radical rule:

a a = a,

assuming

a \geq 0

t t = t

= 2 t^{7} t s s \cdot 2 s

Apply radical rule:

a a = a,

assuming

a \geq 0

s s = s

= 2 t^{7} t ss \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4 t^{7} t ss

Apply exponent rule:

aa = a^{2}

ss = s^{2}

= 4 t^{7} t s^{2}

Simplify

t^{7} t : t^{8}

= 4 t^{8} s^{2}

(t + 3)^{4}

\frac{3}{1} \times \frac{1}{2}

3 (x + y)^{2} - 4 (x - y)^{2} + 3 x^{2} - 3 y^{2}

\frac{6}{10} + \frac{3}{7} + \frac{1}{2}

\frac{9 - x ^{2}}{9 x + 27}

What is sqrt(2t^{15)s^3}\times sqrt(8ts) ?
The solution to sqrt(2t^{15)s^3}\times sqrt(8ts) is 4t^8s^2