Question

Q5.Find the product: (3√18 + 2√12)(√50 − √70)​

Answer 1

Step by step explanation:

If the question is

$(3 \sqrt{18} + 2 \sqrt{12} )( \sqrt{50} - \sqrt{70} )$

Then,

$(3 \sqrt{9 \times 2} + 2 \sqrt{4 \times 3} )( \sqrt{25 \times 2} - \sqrt{70} )$

$(3 \times 3 \sqrt{2} + 2 \times 2 \sqrt{3} )(5 \sqrt{2} - \sqrt{70} )$

$(9 \sqrt{2} + 4 \sqrt{3} )(5 \sqrt{2} - \sqrt{70} )$

Then multiply the parenthesis (terms in the bracket)

$45( \sqrt{2} )^{2} - 9 \sqrt{140} + 20 \sqrt{3} \sqrt{2} - 4 \sqrt{210}$

$90 - 9 \sqrt{140} + 20 \sqrt{6} - 4 \sqrt{210}$

Simplifying the expression,

$90 - 9 \sqrt{4 \times 35} + 20 \sqrt{6} - 4 \sqrt{210}$

$90 - 18 \sqrt{35} + 20 \sqrt{6} - 4 \sqrt{210}$

Answer:

-25.46515

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