Question

if √2 = 1.414, then evaluate √8 + √50

Answer 1

Step-by-step explanation:

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Answer 2

GIVEN :–

$\\ \:\:{\huge{.}} \: \: \bf \sqrt{2} = 1.414$

TO FIND :–

$\\ \:\:{\huge{.}} \: \: \bf Value \: \: of \: \: \sqrt{8} + \sqrt{50} = ?$

SOLUTION :–

• Let suppose that –

$\\ \implies \bf y = \sqrt{8} + \sqrt{50}$

• We should write this as –

$\\ \implies \bf y = \sqrt{4 \times 2} + \sqrt{25 \times 2}$

$\\ \implies \bf y = \sqrt{4 } \sqrt{ 2} + \sqrt{25} \sqrt{ 2}$

$\\ \implies \bf y = \sqrt{2}( \sqrt{4 } + \sqrt{25})$

• We know that –

$\\ \:\:{\huge{.}} \: \: \bf \sqrt{4} = 2$

$\\ \:\:{\huge{.}} \: \: \bf \sqrt{25} = 5$

• So that –

$\\ \implies \bf y = \sqrt{2}(2+5)$

$\\ \implies \bf y = 7\sqrt{2}$

• According to the question –

$\\ \implies \bf y = 7(1.414)$

$\\ \implies \large{ \boxed{ \bf y = 9.898}}$