Question

$4 + 3 \sqrt{5} \div 4 - 3 \sqrt{5 } = a + b \sqrt{5}$
hoy toh a ,b shodho.​

Answer 1

Step-by-step explanation:

the answer is in attachment

Answer 2

Step-by-step explanation:

Simplifying square roots

Example

Let's simplify \sqrt{75}75square root of, 75, end square root by removing all perfect squares from inside the square root.

We start by factoring 757575, looking for a perfect square:

75=5\times5\times3=\blueD{5^2}\times375=5×5×3=52×375, equals, 5, times, 5, times, 3, equals, start color #11accd, 5, squared, end color #11accd, times, 3.

We found one! This allows us to simplify the radical:

\begin{aligned} \sqrt{75}&=\sqrt{\blueD{5^2}\cdot3} \\\\ &=\sqrt{\blueD{5^2}} \cdot \sqrt{{3}} \\\\ &=5\cdot \sqrt{3} \end{aligned}75=52⋅3=52⋅3=5⋅3