Question

1. √243 6. √245

Explanation:

Step1: Factor 243 into prime factors

$243 = 81 \times 3 = 9^2 \times 3$

Step2: Simplify the square root

$\sqrt{243} = \sqrt{9^2 \times 3} = 9\sqrt{3}$

Step3: Factor 245 into prime factors

$245 = 49 \times 5 = 7^2 \times 5$

Step4: Simplify the square root

$\sqrt{245} = \sqrt{7^2 \times 5} = 7\sqrt{5}$

Answer:

1. $9\sqrt{3}$
2. $7\sqrt{5}$