What is sqrt(4+(6t^2+10t)^2) ?

The solution to sqrt(4+(6t^2+10t)^2) is 2sqrt(1+9t^4+30t^3+25t^2)

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simplify sqrt(4+(6t^2+10t)^2)

simplify

4 + (6 t^{2} + 10 t)^{2}

2 1 + 9 t^{4} + 30 t^{3} + 25 t^{2}

Solution steps

4 + (6 t^{2} + 10 t)^{2}

Factor

4 + (6 t^{2} + 10 t)^{2} : 4 (1 + 9 t^{4} + 30 t^{3} + 25 t^{2})

= 4 (1 + 9 t^{4} + 30 t^{3} + 25 t^{2})

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

4 (1 + 9 t^{4} + 30 t^{3} + 25 t^{2}) = 4 1 + 9 t^{4} + 30 t^{3} + 25 t^{2}

= 4 1 + 9 t^{4} + 30 t^{3} + 25 t^{2}

4 = 2

= 2 1 + 9 t^{4} + 30 t^{3} + 25 t^{2}

(21 - 1)

\frac{d}{d x} (ln (x) y) + ln (1 - x) \cdot (n - y)

\frac{6 x ^{2} - 6 x + 6 x h - 3 h - 8}{( 2 x - 1 ) ( 2 x + 2 h - 1 )}

\frac{1}{( 9 + 4 x ^{2} )}

\frac{( 200 \cdot U ( s ) + 0.15 s + 0.1 )}{( 200 ( 0.5 s + 0.5 ) )}

What is sqrt(4+(6t^2+10t)^2) ?
The solution to sqrt(4+(6t^2+10t)^2) is 2sqrt(1+9t^4+30t^3+25t^2)