If -13-m -10-8 - -5 then m-

The correct option is B 4 √(13 m √(10))=√(8) + √(5) 13 m√(10)=8+5+2√(40) m√(10)=4√(10) m= 4 ...

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Standard IX

Mathematics

Rationalisation

If √13-m √1...

Question

If $\sqrt{13 - m \sqrt{10}} = \sqrt{8} + \sqrt{5}$ then m=........

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Solution

The correct option is B $- 4$
$\sqrt{13 - m \sqrt{10}} = \sqrt{8} + \sqrt{5}$

$13 - m \sqrt{10} = 8 + 5 + 2 \sqrt{40}$

$- m \sqrt{10} = 4 \sqrt{10}$

$m = - 4$

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Similar questions

Q. If

\sqrt{13 - a \sqrt{10}} = \sqrt{8} + \sqrt{5}, then a =

(a) −5

(b) −6

(c) −4

(d) −2

Q. Solve using formula.
(1) x² + 6x + 5 = 0
(2) x² – 3x – 2 = 0
(3) 3m² + 2m – 7 = 0
(4) 5m² – 4m – 2 = 0
(5)

y^{2} + \frac{1}{3} y = 2

(6) 5x² + 13x + 8 = 0

Q. If

3 + 2 = 7, 4 + 3 = 10, 5 + 4 = 13

, then

6 + 5 = ?

Q. If

\sqrt{13 + m \sqrt{10}} = \sqrt{8} + \sqrt{5}

than find value of

m

Expand:
(1) $(a + 2) (a - 1)$
(2) $(m - 4) (m + 6)$
(3) $(p + 8) (p - 3)$
(4) $(13 + x) (13 - x)$
(5) $(3 x + 4 y) (3 x + 5 y)$
(6) $(9 x - 5 t) (9 x + 3 t)$
(7) $(m + \frac{2}{3}) (m - \frac{7}{3})$
(8) $(x + \frac{1}{x}) (x - \frac{1}{x})$
(9) $(\frac{1}{y} + 4) (\frac{1}{y} - 9)$

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If √13−m√10=√8+√5 then m=........

The correct option is B −4√13−m√10=√8+√513−m√10=8+5+2√40−m√10=4√10m=−4

If $\sqrt{13 - m \sqrt{10}} = \sqrt{8} + \sqrt{5}$ then m=........

The correct option is B $- 4$
$\sqrt{13 - m \sqrt{10}} = \sqrt{8} + \sqrt{5}$

$13 - m \sqrt{10} = 8 + 5 + 2 \sqrt{40}$

$- m \sqrt{10} = 4 \sqrt{10}$

$m = - 4$