Question

Simplify the following: (i) √45 – 3 √20 + 4 √5

Answer 1

Answer: √5

Step-by-step explanation:

√45 – 3 √20 + 4 √5

= √5×3×3 – 3√5×2×2 + 4√5

= 3√5 – 6√5 + 4√5

=7√5 – 6√5

=√5

Answer 2

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Here is your answer
$\sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} \\ = \sqrt{9 \times 5} - 3 \sqrt{4 \times 5} + 4 \sqrt{5} \\ = \sqrt{3 {}^{2} \times 5 } - 3 \sqrt{ {2}^{2} \times 5 } + 4 \sqrt{5} \\ = 3 \sqrt{5} - 3 \times 2 \sqrt{5} + 4 \sqrt{5} \\ = 3 \sqrt{5} + 4 \sqrt{5} - 6 \sqrt{5} \\ = 7 \sqrt{5} - 6 \sqrt{5} \\ = 1 \sqrt{5} \\ = \sqrt{5}$
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