Question

Evaluate:
(1) √243×√147
(2). √396×√99​

Answer 1

Answer:

(1). 189

(2). 198

Step-by-step explanation:

$(1). \: \sqrt{243} \times \sqrt{147}$

$answer -$

$\sqrt{243} \: \times \: \sqrt{147} \\ = \sqrt{3 \times 3 \times 3 \times 3 \: \times \: 3} \: \: \times \: \: \sqrt{3 \: \times \: 7 \: \times \: 7} \\ = 3 \times 3 \times \: \sqrt[]{3} \times 7 \: \times \sqrt{3} \: \\ \: = \: 27 \times 7 \\ = 189$

$(2). \: \sqrt{396 \: } \times \sqrt{99}$

$answer -$

$= \sqrt{3 \times 3 \times 2 \times 2 \times 11} \: \times \: \sqrt{3 \times 3 \times 11} \\ = 3 \times 2 \times \sqrt{11} \: \times 3 \times \sqrt{11} \\ 18 \times 11 \\ = 198$