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11 (a) Work out - OCR - GCSE Maths - Question 11 - 2020 - Paper 1

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11 (a) Work out. $$ rac{1}{16^{ rac{1}{2}}}$$ (b) Simplify. $$ ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ex... show full transcript

Worked Solution & Example Answer:11 (a) Work out - OCR - GCSE Maths - Question 11 - 2020 - Paper 1

Step 1

Work out. $$\frac{1}{16^{\frac{1}{2}}}$$

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Answer

To solve this, first simplify the denominator:

1612=16=416^{\frac{1}{2}} = \sqrt{16} = 4

Then, evaluate:

14=0.25\frac{1}{4} = 0.25

Step 2

Simplify. $$\sqrt{6} \times \sqrt{3}$$

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Answer

To simplify the product of square roots, use the property:

a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}

Thus,

6×3=6×3=18\sqrt{6} \times \sqrt{3} = \sqrt{6 \times 3} = \sqrt{18}

Next, simplify further:

18=9×2=9×2=32\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}

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