Simplify the following-i -2x-8xii -2-50iii -5-2-5-2iv -7-35-7

(i) √(2)x. √(8)x = √(16)x^2 = 4x^2 (ii) √(2)√(50) = 1√(25) = 15 (iii) (√(5) √(2))(√(5)+√(2)) = 5 2 =3 (iv) √(7)(√(35)+√(7))=7√(5) +7 = 7(√(5 ...

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Finding Square Root by Long Division Method

Simplify the ...

Question

Simplify the following:
(i) $\sqrt{2} x . \sqrt{8} x$
(ii) $\frac{\sqrt{2}}{\sqrt{50}}$
(iii) $(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})$
(iv) $\sqrt{7} (\sqrt{35} + \sqrt{7})$

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Which of these statements hold true?

i.) $4 (x - 5) = 4 x - 5$

ii.) $x (3 x + 2) = 3 x^{2} + 2$

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(16^{- 1 / 5})^{5 / 2}

\sqrt[5]{{(32)}^{- 3}}

\sqrt[3]{(343)^{- 2}}

(0.001)^{1 / 3}

\frac{(25)^{3 / 2} \times (243)^{3 / 5}}{(16)^{5 / 4} \times (8)^{4 / 3}}

{(\frac{\sqrt{2}}{5})}^{8} \div {(\frac{\sqrt{2}}{5})}^{13}

{(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{7 / 2} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{- 5 / 2}

Simplify:
(i) $(3^{5})^{11} \times (3^{1} 5)^{4} - (3^{5})^{18} \times (3^{5})^{5}$

(ii) $\frac{(16)^{7} \times (25)^{5} \times (81)^{3}}{(15)^{7} \times (24)^{5} \times (80)^{3}}$

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