Question

(c) Express \( 5 \sqrt{8}+\sqrt{32}-\sqrt{50} \) in the form \( \mathrm{a} \sqrt{2} \) where a is an integer. 18. (a) Rationalise the denominator: \( \frac{9+\sqrt{7}}{\sqrt{2}} \) (b) Fully simplify: \( 3 \sqrt{2}(\sqrt{18}-\sqrt{2}) \) (c) Express \( 3 \sqrt{2}(\sqrt{24}+5 \sqrt{2}) \) in the form \( a \sqrt{3}+b \) where a and b are integers.

          (c) Express \( 5 \sqrt{8}+\sqrt{32}-\sqrt{50} \) in the form \( \mathrm{a} \sqrt{2} \) where a is an integer.
18.
(a) Rationalise the denominator: \( \frac{9+\sqrt{7}}{\sqrt{2}} \)
(b) Fully simplify: \( 3 \sqrt{2}(\sqrt{18}-\sqrt{2}) \)
(c) Express \( 3 \sqrt{2}(\sqrt{24}+5 \sqrt{2}) \) in the form \( a \sqrt{3}+b \) where a and b are integers.

(c) Express 5 √(8)+√(32)-√(50) in the form a√(2) where a is an integer.
18.
(a) Rationalise the denominator: (9+√(7))/(√(2))
(b) Fully simplify: 3 √(2)(√(18)-√(2))
(c) Express 3 √(2)(√(24)+5 √(2)) in the form a √(3)+b where a and b are integers.

Added by Lisa B.

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem… 2nd Edition

Chapter 0

Instant Answer

Solved by Expert Andrew Noble

03/29/2024

Step 1

- \(\sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2}\) - \(\sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2}\) - \(\sqrt{50} = \sqrt{25 \times 2} = 5\sqrt{2}\) Show more…

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(c) Express \( 5 \sqrt{8}+\sqrt{32}-\sqrt{50} \) in the form \( \mathrm{a} \sqrt{2} \) where a is an integer. 18. (a) Rationalise the denominator: \( \frac{9+\sqrt{7}}{\sqrt{2}} \) (b) Fully simplify: \( 3 \sqrt{2}(\sqrt{18}-\sqrt{2}) \) (c) Express \( 3 \sqrt{2}(\sqrt{24}+5 \sqrt{2}) \) in the form \( a \sqrt{3}+b \) where a and b are integers.